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Finding the Third Proportional to 360,034,016 and 785,484,766

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Solution

The third proportional to 360,034,016 and 785,484,766 is: 1,713,688,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,034,016 : 785,484,766 = 785,484,766 : x
  2. Step 2: Convert to fraction form
    360,034,016/785,484,766 = 785,484,766/x
  3. Step 3: Cross multiply
    360,034,016x = 785,484,766 × 785,484,766
  4. Step 4: Simplify right side
    360,034,016x = 616,986,317,618,074,752
  5. Step 5: Solve for x
    x = 616,986,317,618,074,752/360,034,016
  6. Step 6: Final answer
    x = 1,713,688,957.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.