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Finding the Third Proportional to 38,497,588 and 85,602,312

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Solution

The third proportional to 38,497,588 and 85,602,312 is: 190,343,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497,588 : 85,602,312 = 85,602,312 : x
  2. Step 2: Convert to fraction form
    38,497,588/85,602,312 = 85,602,312/x
  3. Step 3: Cross multiply
    38,497,588x = 85,602,312 × 85,602,312
  4. Step 4: Simplify right side
    38,497,588x = 7,327,755,819,745,344
  5. Step 5: Solve for x
    x = 7,327,755,819,745,344/38,497,588
  6. Step 6: Final answer
    x = 190,343,244.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.