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Finding the Third Proportional to 47,106,430 and 70,377,318

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Solution

The third proportional to 47,106,430 and 70,377,318 is: 105,144,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106,430 : 70,377,318 = 70,377,318 : x
  2. Step 2: Convert to fraction form
    47,106,430/70,377,318 = 70,377,318/x
  3. Step 3: Cross multiply
    47,106,430x = 70,377,318 × 70,377,318
  4. Step 4: Simplify right side
    47,106,430x = 4,952,966,888,873,124
  5. Step 5: Solve for x
    x = 4,952,966,888,873,124/47,106,430
  6. Step 6: Final answer
    x = 105,144,178.59

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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.