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Finding the Third Proportional to 6,290,922,358.13 and 9,767,856,260.53

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Solution

The third proportional to 6,290,922,358.13 and 9,767,856,260.53 is: 15,166,458,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290,922,358.13 : 9,767,856,260.53 = 9,767,856,260.53 : x
  2. Step 2: Convert to fraction form
    6,290,922,358.13/9,767,856,260.53 = 9,767,856,260.53/x
  3. Step 3: Cross multiply
    6,290,922,358.13x = 9,767,856,260.53 × 9,767,856,260.53
  4. Step 4: Simplify right side
    6,290,922,358.13x = 95,411,015,926,398,566,400
  5. Step 5: Solve for x
    x = 95,411,015,926,398,566,400/6,290,922,358.13
  6. Step 6: Final answer
    x = 15,166,458,985.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.