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Finding the Third Proportional to 1,206,207,492 and 2,626,004,196

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Solution

The third proportional to 1,206,207,492 and 2,626,004,196 is: 5,717,008,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,207,492 : 2,626,004,196 = 2,626,004,196 : x
  2. Step 2: Convert to fraction form
    1,206,207,492/2,626,004,196 = 2,626,004,196/x
  3. Step 3: Cross multiply
    1,206,207,492x = 2,626,004,196 × 2,626,004,196
  4. Step 4: Simplify right side
    1,206,207,492x = 6,895,898,037,409,606,656
  5. Step 5: Solve for x
    x = 6,895,898,037,409,606,656/1,206,207,492
  6. Step 6: Final answer
    x = 5,717,008,129.32

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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.