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Finding the Third Proportional to 4,830,792.75 and 10,418,209.88

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Solution

The third proportional to 4,830,792.75 and 10,418,209.88 is: 22,468,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830,792.75 : 10,418,209.88 = 10,418,209.88 : x
  2. Step 2: Convert to fraction form
    4,830,792.75/10,418,209.88 = 10,418,209.88/x
  3. Step 3: Cross multiply
    4,830,792.75x = 10,418,209.88 × 10,418,209.88
  4. Step 4: Simplify right side
    4,830,792.75x = 108,539,096,999,547.52
  5. Step 5: Solve for x
    x = 108,539,096,999,547.52/4,830,792.75
  6. Step 6: Final answer
    x = 22,468,175.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.