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Finding the Third Proportional to 47,106,423 and 70,377,309

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Solution

The third proportional to 47,106,423 and 70,377,309 is: 105,144,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106,423 : 70,377,309 = 70,377,309 : x
  2. Step 2: Convert to fraction form
    47,106,423/70,377,309 = 70,377,309/x
  3. Step 3: Cross multiply
    47,106,423x = 70,377,309 × 70,377,309
  4. Step 4: Simplify right side
    47,106,423x = 4,952,965,622,081,481
  5. Step 5: Solve for x
    x = 4,952,965,622,081,481/47,106,423
  6. Step 6: Final answer
    x = 105,144,167.33

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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.