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Finding the Third Proportional to 47,145,834 and 70,428,396

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Solution

The third proportional to 47,145,834 and 70,428,396 is: 105,208,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145,834 : 70,428,396 = 70,428,396 : x
  2. Step 2: Convert to fraction form
    47,145,834/70,428,396 = 70,428,396/x
  3. Step 3: Cross multiply
    47,145,834x = 70,428,396 × 70,428,396
  4. Step 4: Simplify right side
    47,145,834x = 4,960,158,963,132,816
  5. Step 5: Solve for x
    x = 4,960,158,963,132,816/47,145,834
  6. Step 6: Final answer
    x = 105,208,849.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.