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Finding the Third Proportional to 30,700,684.13 and 67,169,580.75

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Solution

The third proportional to 30,700,684.13 and 67,169,580.75 is: 146,959,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700,684.13 : 67,169,580.75 = 67,169,580.75 : x
  2. Step 2: Convert to fraction form
    30,700,684.13/67,169,580.75 = 67,169,580.75/x
  3. Step 3: Cross multiply
    30,700,684.13x = 67,169,580.75 × 67,169,580.75
  4. Step 4: Simplify right side
    30,700,684.13x = 4,511,752,578,130,771
  5. Step 5: Solve for x
    x = 4,511,752,578,130,771/30,700,684.13
  6. Step 6: Final answer
    x = 146,959,349.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.