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Finding the Third Proportional to 2,000,540,924,725.50 and 2,699,199,423,540

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Solution

The third proportional to 2,000,540,924,725.50 and 2,699,199,423,540 is: 3,641,853,779,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,540,924,725.50 : 2,699,199,423,540 = 2,699,199,423,540 : x
  2. Step 2: Convert to fraction form
    2,000,540,924,725.50/2,699,199,423,540 = 2,699,199,423,540/x
  3. Step 3: Cross multiply
    2,000,540,924,725.50x = 2,699,199,423,540 × 2,699,199,423,540
  4. Step 4: Simplify right side
    2,000,540,924,725.50x = 7,285,677,528,038,668,597,460,992
  5. Step 5: Solve for x
    x = 7,285,677,528,038,668,597,460,992/2,000,540,924,725.50
  6. Step 6: Final answer
    x = 3,641,853,779,641.30

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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.