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Finding the Third Proportional to 38,767,364,312 and 84,327,174,460

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Solution

The third proportional to 38,767,364,312 and 84,327,174,460 is: 183,429,347,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767,364,312 : 84,327,174,460 = 84,327,174,460 : x
  2. Step 2: Convert to fraction form
    38,767,364,312/84,327,174,460 = 84,327,174,460/x
  3. Step 3: Cross multiply
    38,767,364,312x = 84,327,174,460 × 84,327,174,460
  4. Step 4: Simplify right side
    38,767,364,312x = 7,111,072,352,407,275,962,368
  5. Step 5: Solve for x
    x = 7,111,072,352,407,275,962,368/38,767,364,312
  6. Step 6: Final answer
    x = 183,429,347,818.89

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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.