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Finding the Third Proportional to 1,206,207,440 and 2,626,004,086

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Solution

The third proportional to 1,206,207,440 and 2,626,004,086 is: 5,717,007,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,207,440 : 2,626,004,086 = 2,626,004,086 : x
  2. Step 2: Convert to fraction form
    1,206,207,440/2,626,004,086 = 2,626,004,086/x
  3. Step 3: Cross multiply
    1,206,207,440x = 2,626,004,086 × 2,626,004,086
  4. Step 4: Simplify right side
    1,206,207,440x = 6,895,897,459,688,695,808
  5. Step 5: Solve for x
    x = 6,895,897,459,688,695,808/1,206,207,440
  6. Step 6: Final answer
    x = 5,717,007,896.82

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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.