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Finding the Third Proportional to 2,294,605,465 and 5,071,543,330

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Solution

The third proportional to 2,294,605,465 and 5,071,543,330 is: 11,209,139,061.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294,605,465 : 5,071,543,330 = 5,071,543,330 : x
  2. Step 2: Convert to fraction form
    2,294,605,465/5,071,543,330 = 5,071,543,330/x
  3. Step 3: Cross multiply
    2,294,605,465x = 5,071,543,330 × 5,071,543,330
  4. Step 4: Simplify right side
    2,294,605,465x = 25,720,551,748,067,487,744
  5. Step 5: Solve for x
    x = 25,720,551,748,067,487,744/2,294,605,465
  6. Step 6: Final answer
    x = 11,209,139,061.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.