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Finding the Third Proportional to 633,038,495.06 and 956,172,729.09

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Solution

The third proportional to 633,038,495.06 and 956,172,729.09 is: 1,444,250,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,038,495.06 : 956,172,729.09 = 956,172,729.09 : x
  2. Step 2: Convert to fraction form
    633,038,495.06/956,172,729.09 = 956,172,729.09/x
  3. Step 3: Cross multiply
    633,038,495.06x = 956,172,729.09 × 956,172,729.09
  4. Step 4: Simplify right side
    633,038,495.06x = 914,266,287,862,589,824
  5. Step 5: Solve for x
    x = 914,266,287,862,589,824/633,038,495.06
  6. Step 6: Final answer
    x = 1,444,250,697.22

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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.