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Finding the Third Proportional to 4,486,432,117 and 9,817,186,209

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Solution

The third proportional to 4,486,432,117 and 9,817,186,209 is: 21,481,913,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,432,117 : 9,817,186,209 = 9,817,186,209 : x
  2. Step 2: Convert to fraction form
    4,486,432,117/9,817,186,209 = 9,817,186,209/x
  3. Step 3: Cross multiply
    4,486,432,117x = 9,817,186,209 × 9,817,186,209
  4. Step 4: Simplify right side
    4,486,432,117x = 96,377,145,062,179,799,040
  5. Step 5: Solve for x
    x = 96,377,145,062,179,799,040/4,486,432,117
  6. Step 6: Final answer
    x = 21,481,913,143.63

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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.