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Finding the Third Proportional to 1,099,646,085,408 and 2,367,352,323,474

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Solution

The third proportional to 1,099,646,085,408 and 2,367,352,323,474 is: 5,096,509,775,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,646,085,408 : 2,367,352,323,474 = 2,367,352,323,474 : x
  2. Step 2: Convert to fraction form
    1,099,646,085,408/2,367,352,323,474 = 2,367,352,323,474/x
  3. Step 3: Cross multiply
    1,099,646,085,408x = 2,367,352,323,474 × 2,367,352,323,474
  4. Step 4: Simplify right side
    1,099,646,085,408x = 5,604,357,023,457,746,293,358,592
  5. Step 5: Solve for x
    x = 5,604,357,023,457,746,293,358,592/1,099,646,085,408
  6. Step 6: Final answer
    x = 5,096,509,775,123.12

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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.