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Finding the Third Proportional to 633,038,495.50 and 956,172,729.75

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Solution

The third proportional to 633,038,495.50 and 956,172,729.75 is: 1,444,250,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,038,495.50 : 956,172,729.75 = 956,172,729.75 : x
  2. Step 2: Convert to fraction form
    633,038,495.50/956,172,729.75 = 956,172,729.75/x
  3. Step 3: Cross multiply
    633,038,495.50x = 956,172,729.75 × 956,172,729.75
  4. Step 4: Simplify right side
    633,038,495.50x = 914,266,289,117,566,592
  5. Step 5: Solve for x
    x = 914,266,289,117,566,592/633,038,495.50
  6. Step 6: Final answer
    x = 1,444,250,698.21

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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.