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Finding the Third Proportional to 29,344,692 and 64,358,080

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Solution

The third proportional to 29,344,692 and 64,358,080 is: 141,148,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344,692 : 64,358,080 = 64,358,080 : x
  2. Step 2: Convert to fraction form
    29,344,692/64,358,080 = 64,358,080/x
  3. Step 3: Cross multiply
    29,344,692x = 64,358,080 × 64,358,080
  4. Step 4: Simplify right side
    29,344,692x = 4,141,962,461,286,400
  5. Step 5: Solve for x
    x = 4,141,962,461,286,400/29,344,692
  6. Step 6: Final answer
    x = 141,148,609.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.