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Finding the Third Proportional to 47,145,836 and 70,428,399

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Solution

The third proportional to 47,145,836 and 70,428,399 is: 105,208,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145,836 : 70,428,399 = 70,428,399 : x
  2. Step 2: Convert to fraction form
    47,145,836/70,428,399 = 70,428,399/x
  3. Step 3: Cross multiply
    47,145,836x = 70,428,399 × 70,428,399
  4. Step 4: Simplify right side
    47,145,836x = 4,960,159,385,703,201
  5. Step 5: Solve for x
    x = 4,960,159,385,703,201/47,145,836
  6. Step 6: Final answer
    x = 105,208,854.20

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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.