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Finding the Third Proportional to 6,709,986,677 and 10,006,791,775

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Solution

The third proportional to 6,709,986,677 and 10,006,791,775 is: 14,923,409,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709,986,677 : 10,006,791,775 = 10,006,791,775 : x
  2. Step 2: Convert to fraction form
    6,709,986,677/10,006,791,775 = 10,006,791,775/x
  3. Step 3: Cross multiply
    6,709,986,677x = 10,006,791,775 × 10,006,791,775
  4. Step 4: Simplify right side
    6,709,986,677x = 100,135,881,628,207,644,672
  5. Step 5: Solve for x
    x = 100,135,881,628,207,644,672/6,709,986,677
  6. Step 6: Final answer
    x = 14,923,409,903.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.