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Finding the Third Proportional to 24,518,335.50 and 51,577,600.50

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Solution

The third proportional to 24,518,335.50 and 51,577,600.50 is: 108,500,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,518,335.50 : 51,577,600.50 = 51,577,600.50 : x
  2. Step 2: Convert to fraction form
    24,518,335.50/51,577,600.50 = 51,577,600.50/x
  3. Step 3: Cross multiply
    24,518,335.50x = 51,577,600.50 × 51,577,600.50
  4. Step 4: Simplify right side
    24,518,335.50x = 2,660,248,873,337,600
  5. Step 5: Solve for x
    x = 2,660,248,873,337,600/24,518,335.50
  6. Step 6: Final answer
    x = 108,500,386.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.