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Finding the Third Proportional to 1,205,772,669 and 2,596,293,531

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Solution

The third proportional to 1,205,772,669 and 2,596,293,531 is: 5,590,390,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,772,669 : 2,596,293,531 = 2,596,293,531 : x
  2. Step 2: Convert to fraction form
    1,205,772,669/2,596,293,531 = 2,596,293,531/x
  3. Step 3: Cross multiply
    1,205,772,669x = 2,596,293,531 × 2,596,293,531
  4. Step 4: Simplify right side
    1,205,772,669x = 6,740,740,099,112,448,000
  5. Step 5: Solve for x
    x = 6,740,740,099,112,448,000/1,205,772,669
  6. Step 6: Final answer
    x = 5,590,390,520.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.