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Finding the Third Proportional to 601,637,023,380 and 910,193,411,548

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Solution

The third proportional to 601,637,023,380 and 910,193,411,548 is: 1,376,996,451,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,637,023,380 : 910,193,411,548 = 910,193,411,548 : x
  2. Step 2: Convert to fraction form
    601,637,023,380/910,193,411,548 = 910,193,411,548/x
  3. Step 3: Cross multiply
    601,637,023,380x = 910,193,411,548 × 910,193,411,548
  4. Step 4: Simplify right side
    601,637,023,380x = 828,452,046,425,386,886,627,328
  5. Step 5: Solve for x
    x = 828,452,046,425,386,886,627,328/601,637,023,380
  6. Step 6: Final answer
    x = 1,376,996,451,732.87

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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.