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Finding the Third Proportional to 46,357,531,375 and 100,416,463,746

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Solution

The third proportional to 46,357,531,375 and 100,416,463,746 is: 217,515,167,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,357,531,375 : 100,416,463,746 = 100,416,463,746 : x
  2. Step 2: Convert to fraction form
    46,357,531,375/100,416,463,746 = 100,416,463,746/x
  3. Step 3: Cross multiply
    46,357,531,375x = 100,416,463,746 × 100,416,463,746
  4. Step 4: Simplify right side
    46,357,531,375x = 10,083,466,191,251,733,217,280
  5. Step 5: Solve for x
    x = 10,083,466,191,251,733,217,280/46,357,531,375
  6. Step 6: Final answer
    x = 217,515,167,269.88

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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.