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Finding the Third Proportional to 217,214,034,528 and 467,625,136,672

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Solution

The third proportional to 217,214,034,528 and 467,625,136,672 is: 1,006,717,954,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,214,034,528 : 467,625,136,672 = 467,625,136,672 : x
  2. Step 2: Convert to fraction form
    217,214,034,528/467,625,136,672 = 467,625,136,672/x
  3. Step 3: Cross multiply
    217,214,034,528x = 467,625,136,672 × 467,625,136,672
  4. Step 4: Simplify right side
    217,214,034,528x = 218,673,268,447,506,669,240,320
  5. Step 5: Solve for x
    x = 218,673,268,447,506,669,240,320/217,214,034,528
  6. Step 6: Final answer
    x = 1,006,717,954,126.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.