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Finding the Third Proportional to 9,447,255,098 and 20,296,508,308

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Solution

The third proportional to 9,447,255,098 and 20,296,508,308 is: 43,605,073,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,255,098 : 20,296,508,308 = 20,296,508,308 : x
  2. Step 2: Convert to fraction form
    9,447,255,098/20,296,508,308 = 20,296,508,308/x
  3. Step 3: Cross multiply
    9,447,255,098x = 20,296,508,308 × 20,296,508,308
  4. Step 4: Simplify right side
    9,447,255,098x = 411,948,249,496,713,035,776
  5. Step 5: Solve for x
    x = 411,948,249,496,713,035,776/9,447,255,098
  6. Step 6: Final answer
    x = 43,605,073,137.48

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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.