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Finding the Third Proportional to 29,443,825 and 64,346,402

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Solution

The third proportional to 29,443,825 and 64,346,402 is: 140,622,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,443,825 : 64,346,402 = 64,346,402 : x
  2. Step 2: Convert to fraction form
    29,443,825/64,346,402 = 64,346,402/x
  3. Step 3: Cross multiply
    29,443,825x = 64,346,402 × 64,346,402
  4. Step 4: Simplify right side
    29,443,825x = 4,140,459,450,345,604
  5. Step 5: Solve for x
    x = 4,140,459,450,345,604/29,443,825
  6. Step 6: Final answer
    x = 140,622,335.93

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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.