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Finding the Third Proportional to 2,000,540,924,725 and 2,699,199,423,541

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Solution

The third proportional to 2,000,540,924,725 and 2,699,199,423,541 is: 3,641,853,779,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,540,924,725 : 2,699,199,423,541 = 2,699,199,423,541 : x
  2. Step 2: Convert to fraction form
    2,000,540,924,725/2,699,199,423,541 = 2,699,199,423,541/x
  3. Step 3: Cross multiply
    2,000,540,924,725x = 2,699,199,423,541 × 2,699,199,423,541
  4. Step 4: Simplify right side
    2,000,540,924,725x = 7,285,677,528,044,066,297,610,240
  5. Step 5: Solve for x
    x = 7,285,677,528,044,066,297,610,240/2,000,540,924,725
  6. Step 6: Final answer
    x = 3,641,853,779,644.91

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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.