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Finding the Third Proportional to 29,910,312 and 65,069,424

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Solution

The third proportional to 29,910,312 and 65,069,424 is: 141,557,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,910,312 : 65,069,424 = 65,069,424 : x
  2. Step 2: Convert to fraction form
    29,910,312/65,069,424 = 65,069,424/x
  3. Step 3: Cross multiply
    29,910,312x = 65,069,424 × 65,069,424
  4. Step 4: Simplify right side
    29,910,312x = 4,234,029,939,691,776
  5. Step 5: Solve for x
    x = 4,234,029,939,691,776/29,910,312
  6. Step 6: Final answer
    x = 141,557,531.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.