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Finding the Third Proportional to 4,486,432,119 and 9,817,186,213

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Solution

The third proportional to 4,486,432,119 and 9,817,186,213 is: 21,481,913,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,432,119 : 9,817,186,213 = 9,817,186,213 : x
  2. Step 2: Convert to fraction form
    4,486,432,119/9,817,186,213 = 9,817,186,213/x
  3. Step 3: Cross multiply
    4,486,432,119x = 9,817,186,213 × 9,817,186,213
  4. Step 4: Simplify right side
    4,486,432,119x = 96,377,145,140,717,289,472
  5. Step 5: Solve for x
    x = 96,377,145,140,717,289,472/4,486,432,119
  6. Step 6: Final answer
    x = 21,481,913,151.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.