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Finding the Third Proportional to 7,712,035,774.88 and 10,656,281,473.88

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Solution

The third proportional to 7,712,035,774.88 and 10,656,281,473.88 is: 14,724,560,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712,035,774.88 : 10,656,281,473.88 = 10,656,281,473.88 : x
  2. Step 2: Convert to fraction form
    7,712,035,774.88/10,656,281,473.88 = 10,656,281,473.88/x
  3. Step 3: Cross multiply
    7,712,035,774.88x = 10,656,281,473.88 × 10,656,281,473.88
  4. Step 4: Simplify right side
    7,712,035,774.88x = 113,556,334,850,451,537,920
  5. Step 5: Solve for x
    x = 113,556,334,850,451,537,920/7,712,035,774.88
  6. Step 6: Final answer
    x = 14,724,560,176.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.