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Finding the Third Proportional to 1,035,720,435 and 2,218,354,781

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Solution

The third proportional to 1,035,720,435 and 2,218,354,781 is: 4,751,376,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,720,435 : 2,218,354,781 = 2,218,354,781 : x
  2. Step 2: Convert to fraction form
    1,035,720,435/2,218,354,781 = 2,218,354,781/x
  3. Step 3: Cross multiply
    1,035,720,435x = 2,218,354,781 × 2,218,354,781
  4. Step 4: Simplify right side
    1,035,720,435x = 4,921,097,934,385,557,504
  5. Step 5: Solve for x
    x = 4,921,097,934,385,557,504/1,035,720,435
  6. Step 6: Final answer
    x = 4,751,376,692.10

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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.