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Finding the Third Proportional to 4,198,779,834 and 9,020,669,934

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Solution

The third proportional to 4,198,779,834 and 9,020,669,934 is: 19,380,031,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,779,834 : 9,020,669,934 = 9,020,669,934 : x
  2. Step 2: Convert to fraction form
    4,198,779,834/9,020,669,934 = 9,020,669,934/x
  3. Step 3: Cross multiply
    4,198,779,834x = 9,020,669,934 × 9,020,669,934
  4. Step 4: Simplify right side
    4,198,779,834x = 81,372,486,058,171,564,032
  5. Step 5: Solve for x
    x = 81,372,486,058,171,564,032/4,198,779,834
  6. Step 6: Final answer
    x = 19,380,031,646.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.