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Finding the Third Proportional to 8,554,759,490 and 13,612,304,451

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Solution

The third proportional to 8,554,759,490 and 13,612,304,451 is: 21,659,852,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554,759,490 : 13,612,304,451 = 13,612,304,451 : x
  2. Step 2: Convert to fraction form
    8,554,759,490/13,612,304,451 = 13,612,304,451/x
  3. Step 3: Cross multiply
    8,554,759,490x = 13,612,304,451 × 13,612,304,451
  4. Step 4: Simplify right side
    8,554,759,490x = 185,294,832,466,714,427,392
  5. Step 5: Solve for x
    x = 185,294,832,466,714,427,392/8,554,759,490
  6. Step 6: Final answer
    x = 21,659,852,937.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.