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Finding the Third Proportional to 360,034,042 and 785,484,816

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Solution

The third proportional to 360,034,042 and 785,484,816 is: 1,713,689,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,034,042 : 785,484,816 = 785,484,816 : x
  2. Step 2: Convert to fraction form
    360,034,042/785,484,816 = 785,484,816/x
  3. Step 3: Cross multiply
    360,034,042x = 785,484,816 × 785,484,816
  4. Step 4: Simplify right side
    360,034,042x = 616,986,396,166,553,856
  5. Step 5: Solve for x
    x = 616,986,396,166,553,856/360,034,042
  6. Step 6: Final answer
    x = 1,713,689,052.12

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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.