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Finding the Third Proportional to 32,579,523 and 47,872,020

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Solution

The third proportional to 32,579,523 and 47,872,020 is: 70,342,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,579,523 : 47,872,020 = 47,872,020 : x
  2. Step 2: Convert to fraction form
    32,579,523/47,872,020 = 47,872,020/x
  3. Step 3: Cross multiply
    32,579,523x = 47,872,020 × 47,872,020
  4. Step 4: Simplify right side
    32,579,523x = 2,291,730,298,880,400
  5. Step 5: Solve for x
    x = 2,291,730,298,880,400/32,579,523
  6. Step 6: Final answer
    x = 70,342,659.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.