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Finding the Third Proportional to 4,502,378,525 and 9,779,815,999

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Solution

The third proportional to 4,502,378,525 and 9,779,815,999 is: 21,243,171,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502,378,525 : 9,779,815,999 = 9,779,815,999 : x
  2. Step 2: Convert to fraction form
    4,502,378,525/9,779,815,999 = 9,779,815,999/x
  3. Step 3: Cross multiply
    4,502,378,525x = 9,779,815,999 × 9,779,815,999
  4. Step 4: Simplify right side
    4,502,378,525x = 95,644,800,974,296,367,104
  5. Step 5: Solve for x
    x = 95,644,800,974,296,367,104/4,502,378,525
  6. Step 6: Final answer
    x = 21,243,171,901.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.