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Finding the Third Proportional to 47,502,962 and 78,611,511

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Solution

The third proportional to 47,502,962 and 78,611,511 is: 130,092,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502,962 : 78,611,511 = 78,611,511 : x
  2. Step 2: Convert to fraction form
    47,502,962/78,611,511 = 78,611,511/x
  3. Step 3: Cross multiply
    47,502,962x = 78,611,511 × 78,611,511
  4. Step 4: Simplify right side
    47,502,962x = 6,179,769,661,703,121
  5. Step 5: Solve for x
    x = 6,179,769,661,703,121/47,502,962
  6. Step 6: Final answer
    x = 130,092,301.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.