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Finding the Third Proportional to 846,589,448 and 1,822,916,920

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Solution

The third proportional to 846,589,448 and 1,822,916,920 is: 3,925,191,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,589,448 : 1,822,916,920 = 1,822,916,920 : x
  2. Step 2: Convert to fraction form
    846,589,448/1,822,916,920 = 1,822,916,920/x
  3. Step 3: Cross multiply
    846,589,448x = 1,822,916,920 × 1,822,916,920
  4. Step 4: Simplify right side
    846,589,448x = 3,323,026,097,222,286,336
  5. Step 5: Solve for x
    x = 3,323,026,097,222,286,336/846,589,448
  6. Step 6: Final answer
    x = 3,925,191,962.97

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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.