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Finding the Third Proportional to 1,129,110,762 and 2,445,844,776

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Solution

The third proportional to 1,129,110,762 and 2,445,844,776 is: 5,298,113,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,110,762 : 2,445,844,776 = 2,445,844,776 : x
  2. Step 2: Convert to fraction form
    1,129,110,762/2,445,844,776 = 2,445,844,776/x
  3. Step 3: Cross multiply
    1,129,110,762x = 2,445,844,776 × 2,445,844,776
  4. Step 4: Simplify right side
    1,129,110,762x = 5,982,156,668,286,490,624
  5. Step 5: Solve for x
    x = 5,982,156,668,286,490,624/1,129,110,762
  6. Step 6: Final answer
    x = 5,298,113,231.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.