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Finding the Third Proportional to 635,820,204 and 858,779,419.50

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Solution

The third proportional to 635,820,204 and 858,779,419.50 is: 1,159,922,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,820,204 : 858,779,419.50 = 858,779,419.50 : x
  2. Step 2: Convert to fraction form
    635,820,204/858,779,419.50 = 858,779,419.50/x
  3. Step 3: Cross multiply
    635,820,204x = 858,779,419.50 × 858,779,419.50
  4. Step 4: Simplify right side
    635,820,204x = 737,502,091,356,756,992
  5. Step 5: Solve for x
    x = 737,502,091,356,756,992/635,820,204
  6. Step 6: Final answer
    x = 1,159,922,391.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.