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Finding the Third Proportional to 414,603,280 and 907,309,088

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Solution

The third proportional to 414,603,280 and 907,309,088 is: 1,985,536,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,603,280 : 907,309,088 = 907,309,088 : x
  2. Step 2: Convert to fraction form
    414,603,280/907,309,088 = 907,309,088/x
  3. Step 3: Cross multiply
    414,603,280x = 907,309,088 × 907,309,088
  4. Step 4: Simplify right side
    414,603,280x = 823,209,781,167,391,744
  5. Step 5: Solve for x
    x = 823,209,781,167,391,744/414,603,280
  6. Step 6: Final answer
    x = 1,985,536,103.74

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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.