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Finding the Third Proportional to 31,120,498.69 and 68,506,929.56

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Solution

The third proportional to 31,120,498.69 and 68,506,929.56 is: 150,807,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120,498.69 : 68,506,929.56 = 68,506,929.56 : x
  2. Step 2: Convert to fraction form
    31,120,498.69/68,506,929.56 = 68,506,929.56/x
  3. Step 3: Cross multiply
    31,120,498.69x = 68,506,929.56 × 68,506,929.56
  4. Step 4: Simplify right side
    31,120,498.69x = 4,693,199,398,081,336
  5. Step 5: Solve for x
    x = 4,693,199,398,081,336/31,120,498.69
  6. Step 6: Final answer
    x = 150,807,332.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.