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Finding the Third Proportional to 1,727,345,223 and 3,729,935,371.50

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Solution

The third proportional to 1,727,345,223 and 3,729,935,371.50 is: 8,054,219,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,345,223 : 3,729,935,371.50 = 3,729,935,371.50 : x
  2. Step 2: Convert to fraction form
    1,727,345,223/3,729,935,371.50 = 3,729,935,371.50/x
  3. Step 3: Cross multiply
    1,727,345,223x = 3,729,935,371.50 × 3,729,935,371.50
  4. Step 4: Simplify right side
    1,727,345,223x = 13,912,417,875,566,843,904
  5. Step 5: Solve for x
    x = 13,912,417,875,566,843,904/1,727,345,223
  6. Step 6: Final answer
    x = 8,054,219,672.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.