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Finding the Third Proportional to 2,671,989,132 and 5,527,266,360

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Solution

The third proportional to 2,671,989,132 and 5,527,266,360 is: 11,433,681,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,989,132 : 5,527,266,360 = 5,527,266,360 : x
  2. Step 2: Convert to fraction form
    2,671,989,132/5,527,266,360 = 5,527,266,360/x
  3. Step 3: Cross multiply
    2,671,989,132x = 5,527,266,360 × 5,527,266,360
  4. Step 4: Simplify right side
    2,671,989,132x = 30,550,673,414,387,650,560
  5. Step 5: Solve for x
    x = 30,550,673,414,387,650,560/2,671,989,132
  6. Step 6: Final answer
    x = 11,433,681,764.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.