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Finding the Third Proportional to 31,364,784 and 67,535,280

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Solution

The third proportional to 31,364,784 and 67,535,280 is: 145,418,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364,784 : 67,535,280 = 67,535,280 : x
  2. Step 2: Convert to fraction form
    31,364,784/67,535,280 = 67,535,280/x
  3. Step 3: Cross multiply
    31,364,784x = 67,535,280 × 67,535,280
  4. Step 4: Simplify right side
    31,364,784x = 4,561,014,044,678,400
  5. Step 5: Solve for x
    x = 4,561,014,044,678,400/31,364,784
  6. Step 6: Final answer
    x = 145,418,315.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.