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Finding the Third Proportional to 52,677,122 and 81,070,012

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Solution

The third proportional to 52,677,122 and 81,070,012 is: 124,766,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,677,122 : 81,070,012 = 81,070,012 : x
  2. Step 2: Convert to fraction form
    52,677,122/81,070,012 = 81,070,012/x
  3. Step 3: Cross multiply
    52,677,122x = 81,070,012 × 81,070,012
  4. Step 4: Simplify right side
    52,677,122x = 6,572,346,845,680,144
  5. Step 5: Solve for x
    x = 6,572,346,845,680,144/52,677,122
  6. Step 6: Final answer
    x = 124,766,627.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.