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Finding the Third Proportional to 14,687,416,417 and 22,046,670,196

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Solution

The third proportional to 14,687,416,417 and 22,046,670,196 is: 33,093,340,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687,416,417 : 22,046,670,196 = 22,046,670,196 : x
  2. Step 2: Convert to fraction form
    14,687,416,417/22,046,670,196 = 22,046,670,196/x
  3. Step 3: Cross multiply
    14,687,416,417x = 22,046,670,196 × 22,046,670,196
  4. Step 4: Simplify right side
    14,687,416,417x = 486,055,666,731,194,646,528
  5. Step 5: Solve for x
    x = 486,055,666,731,194,646,528/14,687,416,417
  6. Step 6: Final answer
    x = 33,093,340,103.61

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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.