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Finding the Third Proportional to 9,447,255,100 and 20,296,508,312

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Solution

The third proportional to 9,447,255,100 and 20,296,508,312 is: 43,605,073,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,255,100 : 20,296,508,312 = 20,296,508,312 : x
  2. Step 2: Convert to fraction form
    9,447,255,100/20,296,508,312 = 20,296,508,312/x
  3. Step 3: Cross multiply
    9,447,255,100x = 20,296,508,312 × 20,296,508,312
  4. Step 4: Simplify right side
    9,447,255,100x = 411,948,249,659,085,094,912
  5. Step 5: Solve for x
    x = 411,948,249,659,085,094,912/9,447,255,100
  6. Step 6: Final answer
    x = 43,605,073,145.44

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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.