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Finding the Third Proportional to 2,237,440,656 and 3,387,218,328

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Solution

The third proportional to 2,237,440,656 and 3,387,218,328 is: 5,127,844,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237,440,656 : 3,387,218,328 = 3,387,218,328 : x
  2. Step 2: Convert to fraction form
    2,237,440,656/3,387,218,328 = 3,387,218,328/x
  3. Step 3: Cross multiply
    2,237,440,656x = 3,387,218,328 × 3,387,218,328
  4. Step 4: Simplify right side
    2,237,440,656x = 11,473,248,001,539,115,008
  5. Step 5: Solve for x
    x = 11,473,248,001,539,115,008/2,237,440,656
  6. Step 6: Final answer
    x = 5,127,844,607.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.