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Finding the Third Proportional to 5,612,267.25 and 9,038,597.63

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Solution

The third proportional to 5,612,267.25 and 9,038,597.63 is: 14,556,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612,267.25 : 9,038,597.63 = 9,038,597.63 : x
  2. Step 2: Convert to fraction form
    5,612,267.25/9,038,597.63 = 9,038,597.63/x
  3. Step 3: Cross multiply
    5,612,267.25x = 9,038,597.63 × 9,038,597.63
  4. Step 4: Simplify right side
    5,612,267.25x = 81,696,247,026,655.64
  5. Step 5: Solve for x
    x = 81,696,247,026,655.64/5,612,267.25
  6. Step 6: Final answer
    x = 14,556,727.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.