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Finding the Third Proportional to 6,948,713.25 and 10,024,367.63

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Solution

The third proportional to 6,948,713.25 and 10,024,367.63 is: 14,461,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,713.25 : 10,024,367.63 = 10,024,367.63 : x
  2. Step 2: Convert to fraction form
    6,948,713.25/10,024,367.63 = 10,024,367.63/x
  3. Step 3: Cross multiply
    6,948,713.25x = 10,024,367.63 × 10,024,367.63
  4. Step 4: Simplify right side
    6,948,713.25x = 100,487,946,281,148.14
  5. Step 5: Solve for x
    x = 100,487,946,281,148.14/6,948,713.25
  6. Step 6: Final answer
    x = 14,461,374.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.