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Finding the Third Proportional to 635,820,205.50 and 858,779,421.75

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Solution

The third proportional to 635,820,205.50 and 858,779,421.75 is: 1,159,922,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,820,205.50 : 858,779,421.75 = 858,779,421.75 : x
  2. Step 2: Convert to fraction form
    635,820,205.50/858,779,421.75 = 858,779,421.75/x
  3. Step 3: Cross multiply
    635,820,205.50x = 858,779,421.75 × 858,779,421.75
  4. Step 4: Simplify right side
    635,820,205.50x = 737,502,095,221,264,384
  5. Step 5: Solve for x
    x = 737,502,095,221,264,384/635,820,205.50
  6. Step 6: Final answer
    x = 1,159,922,394.48

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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.