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Finding the Third Proportional to 1,054,357,269.53 and 2,195,983,070.09

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Solution

The third proportional to 1,054,357,269.53 and 2,195,983,070.09 is: 4,573,726,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,357,269.53 : 2,195,983,070.09 = 2,195,983,070.09 : x
  2. Step 2: Convert to fraction form
    1,054,357,269.53/2,195,983,070.09 = 2,195,983,070.09/x
  3. Step 3: Cross multiply
    1,054,357,269.53x = 2,195,983,070.09 × 2,195,983,070.09
  4. Step 4: Simplify right side
    1,054,357,269.53x = 4,822,341,644,138,591,232
  5. Step 5: Solve for x
    x = 4,822,341,644,138,591,232/1,054,357,269.53
  6. Step 6: Final answer
    x = 4,573,726,367.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.