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Finding the Third Proportional to 601,637,023,344 and 910,193,411,496

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Solution

The third proportional to 601,637,023,344 and 910,193,411,496 is: 1,376,996,451,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,637,023,344 : 910,193,411,496 = 910,193,411,496 : x
  2. Step 2: Convert to fraction form
    601,637,023,344/910,193,411,496 = 910,193,411,496/x
  3. Step 3: Cross multiply
    601,637,023,344x = 910,193,411,496 × 910,193,411,496
  4. Step 4: Simplify right side
    601,637,023,344x = 828,452,046,330,726,746,947,584
  5. Step 5: Solve for x
    x = 828,452,046,330,726,746,947,584/601,637,023,344
  6. Step 6: Final answer
    x = 1,376,996,451,657.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.