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Finding the Third Proportional to 8,965,577,470.50 and 19,620,073,210.50

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Solution

The third proportional to 8,965,577,470.50 and 19,620,073,210.50 is: 42,936,138,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965,577,470.50 : 19,620,073,210.50 = 19,620,073,210.50 : x
  2. Step 2: Convert to fraction form
    8,965,577,470.50/19,620,073,210.50 = 19,620,073,210.50/x
  3. Step 3: Cross multiply
    8,965,577,470.50x = 19,620,073,210.50 × 19,620,073,210.50
  4. Step 4: Simplify right side
    8,965,577,470.50x = 384,947,272,785,379,786,752
  5. Step 5: Solve for x
    x = 384,947,272,785,379,786,752/8,965,577,470.50
  6. Step 6: Final answer
    x = 42,936,138,140.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.