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Finding the Third Proportional to 849,651,869.25 and 1,312,210,130.06

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Solution

The third proportional to 849,651,869.25 and 1,312,210,130.06 is: 2,026,589,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,651,869.25 : 1,312,210,130.06 = 1,312,210,130.06 : x
  2. Step 2: Convert to fraction form
    849,651,869.25/1,312,210,130.06 = 1,312,210,130.06/x
  3. Step 3: Cross multiply
    849,651,869.25x = 1,312,210,130.06 × 1,312,210,130.06
  4. Step 4: Simplify right side
    849,651,869.25x = 1,721,895,425,438,643,200
  5. Step 5: Solve for x
    x = 1,721,895,425,438,643,200/849,651,869.25
  6. Step 6: Final answer
    x = 2,026,589,345.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.