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Finding the Third Proportional to 3,645,564 and 7,977,348

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Solution

The third proportional to 3,645,564 and 7,977,348 is: 17,456,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,564 : 7,977,348 = 7,977,348 : x
  2. Step 2: Convert to fraction form
    3,645,564/7,977,348 = 7,977,348/x
  3. Step 3: Cross multiply
    3,645,564x = 7,977,348 × 7,977,348
  4. Step 4: Simplify right side
    3,645,564x = 63,638,081,113,104
  5. Step 5: Solve for x
    x = 63,638,081,113,104/3,645,564
  6. Step 6: Final answer
    x = 17,456,306.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.