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Finding the Third Proportional to 2,838,146,858 and 6,068,522,908

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Solution

The third proportional to 2,838,146,858 and 6,068,522,908 is: 12,975,709,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,146,858 : 6,068,522,908 = 6,068,522,908 : x
  2. Step 2: Convert to fraction form
    2,838,146,858/6,068,522,908 = 6,068,522,908/x
  3. Step 3: Cross multiply
    2,838,146,858x = 6,068,522,908 × 6,068,522,908
  4. Step 4: Simplify right side
    2,838,146,858x = 36,826,970,284,920,774,656
  5. Step 5: Solve for x
    x = 36,826,970,284,920,774,656/2,838,146,858
  6. Step 6: Final answer
    x = 12,975,709,900.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.