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Finding the Third Proportional to 2,773,522,380 and 6,145,053,684

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Solution

The third proportional to 2,773,522,380 and 6,145,053,684 is: 13,615,064,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773,522,380 : 6,145,053,684 = 6,145,053,684 : x
  2. Step 2: Convert to fraction form
    2,773,522,380/6,145,053,684 = 6,145,053,684/x
  3. Step 3: Cross multiply
    2,773,522,380x = 6,145,053,684 × 6,145,053,684
  4. Step 4: Simplify right side
    2,773,522,380x = 37,761,684,779,241,971,712
  5. Step 5: Solve for x
    x = 37,761,684,779,241,971,712/2,773,522,380
  6. Step 6: Final answer
    x = 13,615,064,025.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.