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Finding the Third Proportional to 283,557,033 and 424,862,509.50

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Solution

The third proportional to 283,557,033 and 424,862,509.50 is: 636,584,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,557,033 : 424,862,509.50 = 424,862,509.50 : x
  2. Step 2: Convert to fraction form
    283,557,033/424,862,509.50 = 424,862,509.50/x
  3. Step 3: Cross multiply
    283,557,033x = 424,862,509.50 × 424,862,509.50
  4. Step 4: Simplify right side
    283,557,033x = 180,508,151,978,637,600
  5. Step 5: Solve for x
    x = 180,508,151,978,637,600/283,557,033
  6. Step 6: Final answer
    x = 636,584,993.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.