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Finding the Third Proportional to 14,687,416,413 and 22,046,670,191.50

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Solution

The third proportional to 14,687,416,413 and 22,046,670,191.50 is: 33,093,340,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687,416,413 : 22,046,670,191.50 = 22,046,670,191.50 : x
  2. Step 2: Convert to fraction form
    14,687,416,413/22,046,670,191.50 = 22,046,670,191.50/x
  3. Step 3: Cross multiply
    14,687,416,413x = 22,046,670,191.50 × 22,046,670,191.50
  4. Step 4: Simplify right side
    14,687,416,413x = 486,055,666,532,774,641,664
  5. Step 5: Solve for x
    x = 486,055,666,532,774,641,664/14,687,416,413
  6. Step 6: Final answer
    x = 33,093,340,099.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.