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Finding the Third Proportional to 817,257,386,000 and 1,909,482,087,722

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Solution

The third proportional to 817,257,386,000 and 1,909,482,087,722 is: 4,461,411,919,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,257,386,000 : 1,909,482,087,722 = 1,909,482,087,722 : x
  2. Step 2: Convert to fraction form
    817,257,386,000/1,909,482,087,722 = 1,909,482,087,722/x
  3. Step 3: Cross multiply
    817,257,386,000x = 1,909,482,087,722 × 1,909,482,087,722
  4. Step 4: Simplify right side
    817,257,386,000x = 3,646,121,843,331,167,703,531,520
  5. Step 5: Solve for x
    x = 3,646,121,843,331,167,703,531,520/817,257,386,000
  6. Step 6: Final answer
    x = 4,461,411,919,660.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.