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Finding the Third Proportional to 6,867,772,627 and 14,876,484,200

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Solution

The third proportional to 6,867,772,627 and 14,876,484,200 is: 32,224,389,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867,772,627 : 14,876,484,200 = 14,876,484,200 : x
  2. Step 2: Convert to fraction form
    6,867,772,627/14,876,484,200 = 14,876,484,200/x
  3. Step 3: Cross multiply
    6,867,772,627x = 14,876,484,200 × 14,876,484,200
  4. Step 4: Simplify right side
    6,867,772,627x = 221,309,782,152,849,653,760
  5. Step 5: Solve for x
    x = 221,309,782,152,849,653,760/6,867,772,627
  6. Step 6: Final answer
    x = 32,224,389,794.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.