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Finding the Third Proportional to 561,519,308 and 1,211,822,434

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Solution

The third proportional to 561,519,308 and 1,211,822,434 is: 2,615,250,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,519,308 : 1,211,822,434 = 1,211,822,434 : x
  2. Step 2: Convert to fraction form
    561,519,308/1,211,822,434 = 1,211,822,434/x
  3. Step 3: Cross multiply
    561,519,308x = 1,211,822,434 × 1,211,822,434
  4. Step 4: Simplify right side
    561,519,308x = 1,468,513,611,545,684,480
  5. Step 5: Solve for x
    x = 1,468,513,611,545,684,480/561,519,308
  6. Step 6: Final answer
    x = 2,615,250,429.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.