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Finding the Third Proportional to 2,754,310,285.69 and 5,976,249,168.94

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Solution

The third proportional to 2,754,310,285.69 and 5,976,249,168.94 is: 12,967,149,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,310,285.69 : 5,976,249,168.94 = 5,976,249,168.94 : x
  2. Step 2: Convert to fraction form
    2,754,310,285.69/5,976,249,168.94 = 5,976,249,168.94/x
  3. Step 3: Cross multiply
    2,754,310,285.69x = 5,976,249,168.94 × 5,976,249,168.94
  4. Step 4: Simplify right side
    2,754,310,285.69x = 35,715,554,129,226,158,080
  5. Step 5: Solve for x
    x = 35,715,554,129,226,158,080/2,754,310,285.69
  6. Step 6: Final answer
    x = 12,967,149,821.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.