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Finding the Third Proportional to 6,909,488,028 and 14,919,943,608

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Solution

The third proportional to 6,909,488,028 and 14,919,943,608 is: 32,217,252,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,488,028 : 14,919,943,608 = 14,919,943,608 : x
  2. Step 2: Convert to fraction form
    6,909,488,028/14,919,943,608 = 14,919,943,608/x
  3. Step 3: Cross multiply
    6,909,488,028x = 14,919,943,608 × 14,919,943,608
  4. Step 4: Simplify right side
    6,909,488,028x = 222,604,717,265,900,044,288
  5. Step 5: Solve for x
    x = 222,604,717,265,900,044,288/6,909,488,028
  6. Step 6: Final answer
    x = 32,217,252,040.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.