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Finding the Third Proportional to 430,036,374 and 664,065,477

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Solution

The third proportional to 430,036,374 and 664,065,477 is: 1,025,455,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,036,374 : 664,065,477 = 664,065,477 : x
  2. Step 2: Convert to fraction form
    430,036,374/664,065,477 = 664,065,477/x
  3. Step 3: Cross multiply
    430,036,374x = 664,065,477 × 664,065,477
  4. Step 4: Simplify right side
    430,036,374x = 440,982,957,743,237,504
  5. Step 5: Solve for x
    x = 440,982,957,743,237,504/430,036,374
  6. Step 6: Final answer
    x = 1,025,455,018.24

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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.