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Finding the Third Proportional to 601,637,023,357 and 910,193,411,516

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Solution

The third proportional to 601,637,023,357 and 910,193,411,516 is: 1,376,996,451,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,637,023,357 : 910,193,411,516 = 910,193,411,516 : x
  2. Step 2: Convert to fraction form
    601,637,023,357/910,193,411,516 = 910,193,411,516/x
  3. Step 3: Cross multiply
    601,637,023,357x = 910,193,411,516 × 910,193,411,516
  4. Step 4: Simplify right side
    601,637,023,357x = 828,452,046,367,134,513,627,136
  5. Step 5: Solve for x
    x = 828,452,046,367,134,513,627,136/601,637,023,357
  6. Step 6: Final answer
    x = 1,376,996,451,688.69

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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.