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Finding the Third Proportional to 2,731,773,708 and 5,877,871,344

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Solution

The third proportional to 2,731,773,708 and 5,877,871,344 is: 12,647,230,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,773,708 : 5,877,871,344 = 5,877,871,344 : x
  2. Step 2: Convert to fraction form
    2,731,773,708/5,877,871,344 = 5,877,871,344/x
  3. Step 3: Cross multiply
    2,731,773,708x = 5,877,871,344 × 5,877,871,344
  4. Step 4: Simplify right side
    2,731,773,708x = 34,549,371,536,616,366,080
  5. Step 5: Solve for x
    x = 34,549,371,536,616,366,080/2,731,773,708
  6. Step 6: Final answer
    x = 12,647,230,418.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.