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Finding the Third Proportional to 633,038,498 and 956,172,733

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Solution

The third proportional to 633,038,498 and 956,172,733 is: 1,444,250,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,038,498 : 956,172,733 = 956,172,733 : x
  2. Step 2: Convert to fraction form
    633,038,498/956,172,733 = 956,172,733/x
  3. Step 3: Cross multiply
    633,038,498x = 956,172,733 × 956,172,733
  4. Step 4: Simplify right side
    633,038,498x = 914,266,295,332,689,280
  5. Step 5: Solve for x
    x = 914,266,295,332,689,280/633,038,498
  6. Step 6: Final answer
    x = 1,444,250,702.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.