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Finding the Third Proportional to 750,514,582,171.80 and 1,056,889,914,699.20

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Solution

The third proportional to 750,514,582,171.80 and 1,056,889,914,699.20 is: 1,488,333,895,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,514,582,171.80 : 1,056,889,914,699.20 = 1,056,889,914,699.20 : x
  2. Step 2: Convert to fraction form
    750,514,582,171.80/1,056,889,914,699.20 = 1,056,889,914,699.20/x
  3. Step 3: Cross multiply
    750,514,582,171.80x = 1,056,889,914,699.20 × 1,056,889,914,699.20
  4. Step 4: Simplify right side
    750,514,582,171.80x = 1,117,016,291,792,882,168,233,984
  5. Step 5: Solve for x
    x = 1,117,016,291,792,882,168,233,984/750,514,582,171.80
  6. Step 6: Final answer
    x = 1,488,333,895,606.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.