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Finding the Third Proportional to 1,154,026,749 and 2,721,515,749.50

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Solution

The third proportional to 1,154,026,749 and 2,721,515,749.50 is: 6,418,090,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,026,749 : 2,721,515,749.50 = 2,721,515,749.50 : x
  2. Step 2: Convert to fraction form
    1,154,026,749/2,721,515,749.50 = 2,721,515,749.50/x
  3. Step 3: Cross multiply
    1,154,026,749x = 2,721,515,749.50 × 2,721,515,749.50
  4. Step 4: Simplify right side
    1,154,026,749x = 7,406,647,974,776,546,304
  5. Step 5: Solve for x
    x = 7,406,647,974,776,546,304/1,154,026,749
  6. Step 6: Final answer
    x = 6,418,090,378.92

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Why These Related Problems?

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