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Finding the Third Proportional to 877,949,566 and 1,195,821,046.50

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Solution

The third proportional to 877,949,566 and 1,195,821,046.50 is: 1,628,781,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,949,566 : 1,195,821,046.50 = 1,195,821,046.50 : x
  2. Step 2: Convert to fraction form
    877,949,566/1,195,821,046.50 = 1,195,821,046.50/x
  3. Step 3: Cross multiply
    877,949,566x = 1,195,821,046.50 × 1,195,821,046.50
  4. Step 4: Simplify right side
    877,949,566x = 1,429,987,975,252,355,072
  5. Step 5: Solve for x
    x = 1,429,987,975,252,355,072/877,949,566
  6. Step 6: Final answer
    x = 1,628,781,459.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.