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Finding the Third Proportional to 1,003,654,069.50 and 2,174,084,385.50

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Solution

The third proportional to 1,003,654,069.50 and 2,174,084,385.50 is: 4,709,434,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,654,069.50 : 2,174,084,385.50 = 2,174,084,385.50 : x
  2. Step 2: Convert to fraction form
    1,003,654,069.50/2,174,084,385.50 = 2,174,084,385.50/x
  3. Step 3: Cross multiply
    1,003,654,069.50x = 2,174,084,385.50 × 2,174,084,385.50
  4. Step 4: Simplify right side
    1,003,654,069.50x = 4,726,642,915,274,912,768
  5. Step 5: Solve for x
    x = 4,726,642,915,274,912,768/1,003,654,069.50
  6. Step 6: Final answer
    x = 4,709,434,314.98

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