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Finding the Third Proportional to 29,910,315 and 65,069,430

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Solution

The third proportional to 29,910,315 and 65,069,430 is: 141,557,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,910,315 : 65,069,430 = 65,069,430 : x
  2. Step 2: Convert to fraction form
    29,910,315/65,069,430 = 65,069,430/x
  3. Step 3: Cross multiply
    29,910,315x = 65,069,430 × 65,069,430
  4. Step 4: Simplify right side
    29,910,315x = 4,234,030,720,524,900
  5. Step 5: Solve for x
    x = 4,234,030,720,524,900/29,910,315
  6. Step 6: Final answer
    x = 141,557,543.63

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Why These Related Problems?

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