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Finding the Third Proportional to 32,357,924 and 45,513,704

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Solution

The third proportional to 32,357,924 and 45,513,704 is: 64,018,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357,924 : 45,513,704 = 45,513,704 : x
  2. Step 2: Convert to fraction form
    32,357,924/45,513,704 = 45,513,704/x
  3. Step 3: Cross multiply
    32,357,924x = 45,513,704 × 45,513,704
  4. Step 4: Simplify right side
    32,357,924x = 2,071,497,251,799,616
  5. Step 5: Solve for x
    x = 2,071,497,251,799,616/32,357,924
  6. Step 6: Final answer
    x = 64,018,237.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.