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Finding the Third Proportional to 3,058,723,927.50 and 4,723,205,047.50

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Solution

The third proportional to 3,058,723,927.50 and 4,723,205,047.50 is: 7,293,455,195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058,723,927.50 : 4,723,205,047.50 = 4,723,205,047.50 : x
  2. Step 2: Convert to fraction form
    3,058,723,927.50/4,723,205,047.50 = 4,723,205,047.50/x
  3. Step 3: Cross multiply
    3,058,723,927.50x = 4,723,205,047.50 × 4,723,205,047.50
  4. Step 4: Simplify right side
    3,058,723,927.50x = 22,308,665,920,729,477,120
  5. Step 5: Solve for x
    x = 22,308,665,920,729,477,120/3,058,723,927.50
  6. Step 6: Final answer
    x = 7,293,455,195.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.