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Finding the Third Proportional to 2,575,414,779 and 5,578,681,674

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Solution

The third proportional to 2,575,414,779 and 5,578,681,674 is: 12,084,146,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,414,779 : 5,578,681,674 = 5,578,681,674 : x
  2. Step 2: Convert to fraction form
    2,575,414,779/5,578,681,674 = 5,578,681,674/x
  3. Step 3: Cross multiply
    2,575,414,779x = 5,578,681,674 × 5,578,681,674
  4. Step 4: Simplify right side
    2,575,414,779x = 31,121,689,219,823,443,968
  5. Step 5: Solve for x
    x = 31,121,689,219,823,443,968/2,575,414,779
  6. Step 6: Final answer
    x = 12,084,146,395.99

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