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Finding the Third Proportional to 6,864,510 and 10,385,335.50

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Solution

The third proportional to 6,864,510 and 10,385,335.50 is: 15,712,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864,510 : 10,385,335.50 = 10,385,335.50 : x
  2. Step 2: Convert to fraction form
    6,864,510/10,385,335.50 = 10,385,335.50/x
  3. Step 3: Cross multiply
    6,864,510x = 10,385,335.50 × 10,385,335.50
  4. Step 4: Simplify right side
    6,864,510x = 107,855,193,447,560.25
  5. Step 5: Solve for x
    x = 107,855,193,447,560.25/6,864,510
  6. Step 6: Final answer
    x = 15,712,001.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.