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Finding the Third Proportional to 736,185,601.13 and 1,610,900,151.19

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Solution

The third proportional to 736,185,601.13 and 1,610,900,151.19 is: 3,524,925,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,185,601.13 : 1,610,900,151.19 = 1,610,900,151.19 : x
  2. Step 2: Convert to fraction form
    736,185,601.13/1,610,900,151.19 = 1,610,900,151.19/x
  3. Step 3: Cross multiply
    736,185,601.13x = 1,610,900,151.19 × 1,610,900,151.19
  4. Step 4: Simplify right side
    736,185,601.13x = 2,594,999,297,095,910,400
  5. Step 5: Solve for x
    x = 2,594,999,297,095,910,400/736,185,601.13
  6. Step 6: Final answer
    x = 3,524,925,362.75

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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.