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Finding the Third Proportional to 1,178,633,797 and 2,566,522,507

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Solution

The third proportional to 1,178,633,797 and 2,566,522,507 is: 5,588,706,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,633,797 : 2,566,522,507 = 2,566,522,507 : x
  2. Step 2: Convert to fraction form
    1,178,633,797/2,566,522,507 = 2,566,522,507/x
  3. Step 3: Cross multiply
    1,178,633,797x = 2,566,522,507 × 2,566,522,507
  4. Step 4: Simplify right side
    1,178,633,797x = 6,587,037,778,937,565,184
  5. Step 5: Solve for x
    x = 6,587,037,778,937,565,184/1,178,633,797
  6. Step 6: Final answer
    x = 5,588,706,004.96

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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.