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Finding the Third Proportional to 601,637,023,353 and 910,193,411,509.50

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Solution

The third proportional to 601,637,023,353 and 910,193,411,509.50 is: 1,376,996,451,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,637,023,353 : 910,193,411,509.50 = 910,193,411,509.50 : x
  2. Step 2: Convert to fraction form
    601,637,023,353/910,193,411,509.50 = 910,193,411,509.50/x
  3. Step 3: Cross multiply
    601,637,023,353x = 910,193,411,509.50 × 910,193,411,509.50
  4. Step 4: Simplify right side
    601,637,023,353x = 828,452,046,355,302,012,944,384
  5. Step 5: Solve for x
    x = 828,452,046,355,302,012,944,384/601,637,023,353
  6. Step 6: Final answer
    x = 1,376,996,451,678.18

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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.