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Finding the Third Proportional to 4,649,585 and 10,011,652.50

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Solution

The third proportional to 4,649,585 and 10,011,652.50 is: 21,557,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,585 : 10,011,652.50 = 10,011,652.50 : x
  2. Step 2: Convert to fraction form
    4,649,585/10,011,652.50 = 10,011,652.50/x
  3. Step 3: Cross multiply
    4,649,585x = 10,011,652.50 × 10,011,652.50
  4. Step 4: Simplify right side
    4,649,585x = 100,233,185,780,756.25
  5. Step 5: Solve for x
    x = 100,233,185,780,756.25/4,649,585
  6. Step 6: Final answer
    x = 21,557,447.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.