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Finding the Third Proportional to 2,923,106.50 and 6,377,411

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Solution

The third proportional to 2,923,106.50 and 6,377,411 is: 13,913,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,106.50 : 6,377,411 = 6,377,411 : x
  2. Step 2: Convert to fraction form
    2,923,106.50/6,377,411 = 6,377,411/x
  3. Step 3: Cross multiply
    2,923,106.50x = 6,377,411 × 6,377,411
  4. Step 4: Simplify right side
    2,923,106.50x = 40,671,371,062,921
  5. Step 5: Solve for x
    x = 40,671,371,062,921/2,923,106.50
  6. Step 6: Final answer
    x = 13,913,749.32

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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.