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Finding the Third Proportional to 952,486,257,306 and 1,456,062,048,511

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Solution

The third proportional to 952,486,257,306 and 1,456,062,048,511 is: 2,225,876,408,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,486,257,306 : 1,456,062,048,511 = 1,456,062,048,511 : x
  2. Step 2: Convert to fraction form
    952,486,257,306/1,456,062,048,511 = 1,456,062,048,511/x
  3. Step 3: Cross multiply
    952,486,257,306x = 1,456,062,048,511 × 1,456,062,048,511
  4. Step 4: Simplify right side
    952,486,257,306x = 2,120,116,689,114,049,625,980,928
  5. Step 5: Solve for x
    x = 2,120,116,689,114,049,625,980,928/952,486,257,306
  6. Step 6: Final answer
    x = 2,225,876,408,034.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.