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Finding the Third Proportional to 2,000,540,924,721.80 and 2,699,199,423,535.90

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Solution

The third proportional to 2,000,540,924,721.80 and 2,699,199,423,535.90 is: 3,641,853,779,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,540,924,721.80 : 2,699,199,423,535.90 = 2,699,199,423,535.90 : x
  2. Step 2: Convert to fraction form
    2,000,540,924,721.80/2,699,199,423,535.90 = 2,699,199,423,535.90/x
  3. Step 3: Cross multiply
    2,000,540,924,721.80x = 2,699,199,423,535.90 × 2,699,199,423,535.90
  4. Step 4: Simplify right side
    2,000,540,924,721.80x = 7,285,677,528,016,534,483,501,056
  5. Step 5: Solve for x
    x = 7,285,677,528,016,534,483,501,056/2,000,540,924,721.80
  6. Step 6: Final answer
    x = 3,641,853,779,636.97

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