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Finding the Third Proportional to 38,583,834,126 and 83,579,107,440

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Solution

The third proportional to 38,583,834,126 and 83,579,107,440 is: 181,046,476,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,583,834,126 : 83,579,107,440 = 83,579,107,440 : x
  2. Step 2: Convert to fraction form
    38,583,834,126/83,579,107,440 = 83,579,107,440/x
  3. Step 3: Cross multiply
    38,583,834,126x = 83,579,107,440 × 83,579,107,440
  4. Step 4: Simplify right side
    38,583,834,126x = 6,985,467,200,467,063,799,808
  5. Step 5: Solve for x
    x = 6,985,467,200,467,063,799,808/38,583,834,126
  6. Step 6: Final answer
    x = 181,046,476,035.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.