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Finding the Third Proportional to 29,465,645 and 64,283,602

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Solution

The third proportional to 29,465,645 and 64,283,602 is: 140,244,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465,645 : 64,283,602 = 64,283,602 : x
  2. Step 2: Convert to fraction form
    29,465,645/64,283,602 = 64,283,602/x
  3. Step 3: Cross multiply
    29,465,645x = 64,283,602 × 64,283,602
  4. Step 4: Simplify right side
    29,465,645x = 4,132,381,486,094,404
  5. Step 5: Solve for x
    x = 4,132,381,486,094,404/29,465,645
  6. Step 6: Final answer
    x = 140,244,053.24

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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.