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Finding the Third Proportional to 9,929,811,708 and 21,603,001,968

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Solution

The third proportional to 9,929,811,708 and 21,603,001,968 is: 46,998,846,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929,811,708 : 21,603,001,968 = 21,603,001,968 : x
  2. Step 2: Convert to fraction form
    9,929,811,708/21,603,001,968 = 21,603,001,968/x
  3. Step 3: Cross multiply
    9,929,811,708x = 21,603,001,968 × 21,603,001,968
  4. Step 4: Simplify right side
    9,929,811,708x = 466,689,694,029,411,844,096
  5. Step 5: Solve for x
    x = 466,689,694,029,411,844,096/9,929,811,708
  6. Step 6: Final answer
    x = 46,998,846,277.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.