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Finding the Third Proportional to 1,726,360,075 and 2,523,998,800.50

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Solution

The third proportional to 1,726,360,075 and 2,523,998,800.50 is: 3,690,174,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,360,075 : 2,523,998,800.50 = 2,523,998,800.50 : x
  2. Step 2: Convert to fraction form
    1,726,360,075/2,523,998,800.50 = 2,523,998,800.50/x
  3. Step 3: Cross multiply
    1,726,360,075x = 2,523,998,800.50 × 2,523,998,800.50
  4. Step 4: Simplify right side
    1,726,360,075x = 6,370,569,944,925,438,976
  5. Step 5: Solve for x
    x = 6,370,569,944,925,438,976/1,726,360,075
  6. Step 6: Final answer
    x = 3,690,174,510.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.