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Finding the Third Proportional to 32,762,976 and 48,499,776

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Solution

The third proportional to 32,762,976 and 48,499,776 is: 71,795,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,762,976 : 48,499,776 = 48,499,776 : x
  2. Step 2: Convert to fraction form
    32,762,976/48,499,776 = 48,499,776/x
  3. Step 3: Cross multiply
    32,762,976x = 48,499,776 × 48,499,776
  4. Step 4: Simplify right side
    32,762,976x = 2,352,228,272,050,176
  5. Step 5: Solve for x
    x = 2,352,228,272,050,176/32,762,976
  6. Step 6: Final answer
    x = 71,795,317.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.