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Finding the Third Proportional to 29,829,948 and 64,218,820

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Solution

The third proportional to 29,829,948 and 64,218,820 is: 138,252,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829,948 : 64,218,820 = 64,218,820 : x
  2. Step 2: Convert to fraction form
    29,829,948/64,218,820 = 64,218,820/x
  3. Step 3: Cross multiply
    29,829,948x = 64,218,820 × 64,218,820
  4. Step 4: Simplify right side
    29,829,948x = 4,124,056,842,192,400
  5. Step 5: Solve for x
    x = 4,124,056,842,192,400/29,829,948
  6. Step 6: Final answer
    x = 138,252,230.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.