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Finding the Third Proportional to 7,466,065,230 and 15,997,062,707

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Solution

The third proportional to 7,466,065,230 and 15,997,062,707 is: 34,275,887,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466,065,230 : 15,997,062,707 = 15,997,062,707 : x
  2. Step 2: Convert to fraction form
    7,466,065,230/15,997,062,707 = 15,997,062,707/x
  3. Step 3: Cross multiply
    7,466,065,230x = 15,997,062,707 × 15,997,062,707
  4. Step 4: Simplify right side
    7,466,065,230x = 255,906,015,251,690,160,128
  5. Step 5: Solve for x
    x = 255,906,015,251,690,160,128/7,466,065,230
  6. Step 6: Final answer
    x = 34,275,887,950.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.