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Finding the Third Proportional to 683,867,840 and 1,612,750,460

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Solution

The third proportional to 683,867,840 and 1,612,750,460 is: 3,803,313,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,867,840 : 1,612,750,460 = 1,612,750,460 : x
  2. Step 2: Convert to fraction form
    683,867,840/1,612,750,460 = 1,612,750,460/x
  3. Step 3: Cross multiply
    683,867,840x = 1,612,750,460 × 1,612,750,460
  4. Step 4: Simplify right side
    683,867,840x = 2,600,964,046,230,211,584
  5. Step 5: Solve for x
    x = 2,600,964,046,230,211,584/683,867,840
  6. Step 6: Final answer
    x = 3,803,313,877.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.