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Finding the Third Proportional to 662,378,693.50 and 1,445,069,650.50

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Solution

The third proportional to 662,378,693.50 and 1,445,069,650.50 is: 3,152,616,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,378,693.50 : 1,445,069,650.50 = 1,445,069,650.50 : x
  2. Step 2: Convert to fraction form
    662,378,693.50/1,445,069,650.50 = 1,445,069,650.50/x
  3. Step 3: Cross multiply
    662,378,693.50x = 1,445,069,650.50 × 1,445,069,650.50
  4. Step 4: Simplify right side
    662,378,693.50x = 2,088,226,294,796,192,256
  5. Step 5: Solve for x
    x = 2,088,226,294,796,192,256/662,378,693.50
  6. Step 6: Final answer
    x = 3,152,616,947.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.