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Finding the Third Proportional to 7,722,897.75 and 10,488,656.25

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Solution

The third proportional to 7,722,897.75 and 10,488,656.25 is: 14,244,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722,897.75 : 10,488,656.25 = 10,488,656.25 : x
  2. Step 2: Convert to fraction form
    7,722,897.75/10,488,656.25 = 10,488,656.25/x
  3. Step 3: Cross multiply
    7,722,897.75x = 10,488,656.25 × 10,488,656.25
  4. Step 4: Simplify right side
    7,722,897.75x = 110,011,909,930,664.06
  5. Step 5: Solve for x
    x = 110,011,909,930,664.06/7,722,897.75
  6. Step 6: Final answer
    x = 14,244,900.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.