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Finding the Third Proportional to 1,454,172,458 and 2,303,000,160

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Solution

The third proportional to 1,454,172,458 and 2,303,000,160 is: 3,647,304,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,172,458 : 2,303,000,160 = 2,303,000,160 : x
  2. Step 2: Convert to fraction form
    1,454,172,458/2,303,000,160 = 2,303,000,160/x
  3. Step 3: Cross multiply
    1,454,172,458x = 2,303,000,160 × 2,303,000,160
  4. Step 4: Simplify right side
    1,454,172,458x = 5,303,809,736,960,025,600
  5. Step 5: Solve for x
    x = 5,303,809,736,960,025,600/1,454,172,458
  6. Step 6: Final answer
    x = 3,647,304,491.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.