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Finding the Third Proportional to 4,046,056.31 and 8,669,237.63

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Solution

The third proportional to 4,046,056.31 and 8,669,237.63 is: 18,575,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,056.31 : 8,669,237.63 = 8,669,237.63 : x
  2. Step 2: Convert to fraction form
    4,046,056.31/8,669,237.63 = 8,669,237.63/x
  3. Step 3: Cross multiply
    4,046,056.31x = 8,669,237.63 × 8,669,237.63
  4. Step 4: Simplify right side
    4,046,056.31x = 75,155,680,998,715.64
  5. Step 5: Solve for x
    x = 75,155,680,998,715.64/4,046,056.31
  6. Step 6: Final answer
    x = 18,575,045.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.