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Finding the Third Proportional to 267,099,547 and 588,539,704

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Solution

The third proportional to 267,099,547 and 588,539,704 is: 1,296,816,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,099,547 : 588,539,704 = 588,539,704 : x
  2. Step 2: Convert to fraction form
    267,099,547/588,539,704 = 588,539,704/x
  3. Step 3: Cross multiply
    267,099,547x = 588,539,704 × 588,539,704
  4. Step 4: Simplify right side
    267,099,547x = 346,378,983,184,407,616
  5. Step 5: Solve for x
    x = 346,378,983,184,407,616/267,099,547
  6. Step 6: Final answer
    x = 1,296,816,063.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.