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Finding the Third Proportional to 5,090,199 and 10,909,047

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Solution

The third proportional to 5,090,199 and 10,909,047 is: 23,379,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090,199 : 10,909,047 = 10,909,047 : x
  2. Step 2: Convert to fraction form
    5,090,199/10,909,047 = 10,909,047/x
  3. Step 3: Cross multiply
    5,090,199x = 10,909,047 × 10,909,047
  4. Step 4: Simplify right side
    5,090,199x = 119,007,306,448,209
  5. Step 5: Solve for x
    x = 119,007,306,448,209/5,090,199
  6. Step 6: Final answer
    x = 23,379,696.25

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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.