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Finding the Third Proportional to 46,256,587,068 and 62,410,996,750

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Solution

The third proportional to 46,256,587,068 and 62,410,996,750 is: 84,207,088,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,256,587,068 : 62,410,996,750 = 62,410,996,750 : x
  2. Step 2: Convert to fraction form
    46,256,587,068/62,410,996,750 = 62,410,996,750/x
  3. Step 3: Cross multiply
    46,256,587,068x = 62,410,996,750 × 62,410,996,750
  4. Step 4: Simplify right side
    46,256,587,068x = 3,895,132,515,328,510,656,512
  5. Step 5: Solve for x
    x = 3,895,132,515,328,510,656,512/46,256,587,068
  6. Step 6: Final answer
    x = 84,207,088,378.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.