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Finding the Third Proportional to 5,403,414.66 and 8,357,621.34

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Solution

The third proportional to 5,403,414.66 and 8,357,621.34 is: 12,926,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403,414.66 : 8,357,621.34 = 8,357,621.34 : x
  2. Step 2: Convert to fraction form
    5,403,414.66/8,357,621.34 = 8,357,621.34/x
  3. Step 3: Cross multiply
    5,403,414.66x = 8,357,621.34 × 8,357,621.34
  4. Step 4: Simplify right side
    5,403,414.66x = 69,849,834,525,505.55
  5. Step 5: Solve for x
    x = 69,849,834,525,505.55/5,403,414.66
  6. Step 6: Final answer
    x = 12,926,980.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.