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Finding the Third Proportional to 60,005,675 and 130,914,140

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Solution

The third proportional to 60,005,675 and 130,914,140 is: 285,614,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,005,675 : 130,914,140 = 130,914,140 : x
  2. Step 2: Convert to fraction form
    60,005,675/130,914,140 = 130,914,140/x
  3. Step 3: Cross multiply
    60,005,675x = 130,914,140 × 130,914,140
  4. Step 4: Simplify right side
    60,005,675x = 17,138,512,051,939,600
  5. Step 5: Solve for x
    x = 17,138,512,051,939,600/60,005,675
  6. Step 6: Final answer
    x = 285,614,853.13

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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.