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Finding the Third Proportional to 3,645,392 and 7,977,341

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Solution

The third proportional to 3,645,392 and 7,977,341 is: 17,457,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,392 : 7,977,341 = 7,977,341 : x
  2. Step 2: Convert to fraction form
    3,645,392/7,977,341 = 7,977,341/x
  3. Step 3: Cross multiply
    3,645,392x = 7,977,341 × 7,977,341
  4. Step 4: Simplify right side
    3,645,392x = 63,637,969,430,281
  5. Step 5: Solve for x
    x = 63,637,969,430,281/3,645,392
  6. Step 6: Final answer
    x = 17,457,099.11

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Why These Related Problems?

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