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Finding the Third Proportional to 3,637,827 and 7,921,503

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Solution

The third proportional to 3,637,827 and 7,921,503 is: 17,249,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637,827 : 7,921,503 = 7,921,503 : x
  2. Step 2: Convert to fraction form
    3,637,827/7,921,503 = 7,921,503/x
  3. Step 3: Cross multiply
    3,637,827x = 7,921,503 × 7,921,503
  4. Step 4: Simplify right side
    3,637,827x = 62,750,209,779,009
  5. Step 5: Solve for x
    x = 62,750,209,779,009/3,637,827
  6. Step 6: Final answer
    x = 17,249,366.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.