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Finding the Third Proportional to 779,714,514 and 1,838,767,005

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Solution

The third proportional to 779,714,514 and 1,838,767,005 is: 4,336,284,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,714,514 : 1,838,767,005 = 1,838,767,005 : x
  2. Step 2: Convert to fraction form
    779,714,514/1,838,767,005 = 1,838,767,005/x
  3. Step 3: Cross multiply
    779,714,514x = 1,838,767,005 × 1,838,767,005
  4. Step 4: Simplify right side
    779,714,514x = 3,381,064,098,676,669,952
  5. Step 5: Solve for x
    x = 3,381,064,098,676,669,952/779,714,514
  6. Step 6: Final answer
    x = 4,336,284,675.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.