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Finding the Third Proportional to 1,210,852,957.50 and 1,895,315,589

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Solution

The third proportional to 1,210,852,957.50 and 1,895,315,589 is: 2,966,686,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,852,957.50 : 1,895,315,589 = 1,895,315,589 : x
  2. Step 2: Convert to fraction form
    1,210,852,957.50/1,895,315,589 = 1,895,315,589/x
  3. Step 3: Cross multiply
    1,210,852,957.50x = 1,895,315,589 × 1,895,315,589
  4. Step 4: Simplify right side
    1,210,852,957.50x = 3,592,221,181,906,417,152
  5. Step 5: Solve for x
    x = 3,592,221,181,906,417,152/1,210,852,957.50
  6. Step 6: Final answer
    x = 2,966,686,549.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.