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Finding the Third Proportional to 31,097,769 and 67,664,952

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Solution

The third proportional to 31,097,769 and 67,664,952 is: 147,230,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097,769 : 67,664,952 = 67,664,952 : x
  2. Step 2: Convert to fraction form
    31,097,769/67,664,952 = 67,664,952/x
  3. Step 3: Cross multiply
    31,097,769x = 67,664,952 × 67,664,952
  4. Step 4: Simplify right side
    31,097,769x = 4,578,545,729,162,304
  5. Step 5: Solve for x
    x = 4,578,545,729,162,304/31,097,769
  6. Step 6: Final answer
    x = 147,230,681.70

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