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Finding the Third Proportional to 433,051,750 and 1,021,924,626

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Solution

The third proportional to 433,051,750 and 1,021,924,626 is: 2,411,559,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,051,750 : 1,021,924,626 = 1,021,924,626 : x
  2. Step 2: Convert to fraction form
    433,051,750/1,021,924,626 = 1,021,924,626/x
  3. Step 3: Cross multiply
    433,051,750x = 1,021,924,626 × 1,021,924,626
  4. Step 4: Simplify right side
    433,051,750x = 1,044,329,941,225,239,936
  5. Step 5: Solve for x
    x = 1,044,329,941,225,239,936/433,051,750
  6. Step 6: Final answer
    x = 2,411,559,221.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.