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Finding the Third Proportional to 9,102,033,602,297 and 13,150,866,744,143

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Solution

The third proportional to 9,102,033,602,297 and 13,150,866,744,143 is: 19,000,731,449,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102,033,602,297 : 13,150,866,744,143 = 13,150,866,744,143 : x
  2. Step 2: Convert to fraction form
    9,102,033,602,297/13,150,866,744,143 = 13,150,866,744,143/x
  3. Step 3: Cross multiply
    9,102,033,602,297x = 13,150,866,744,143 × 13,150,866,744,143
  4. Step 4: Simplify right side
    9,102,033,602,297x = 172,945,296,122,206,299,982,135,296
  5. Step 5: Solve for x
    x = 172,945,296,122,206,299,982,135,296/9,102,033,602,297
  6. Step 6: Final answer
    x = 19,000,731,449,569.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.