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Finding the Third Proportional to 1,026,762,408 and 2,241,676,800

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Solution

The third proportional to 1,026,762,408 and 2,241,676,800 is: 4,894,136,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,762,408 : 2,241,676,800 = 2,241,676,800 : x
  2. Step 2: Convert to fraction form
    1,026,762,408/2,241,676,800 = 2,241,676,800/x
  3. Step 3: Cross multiply
    1,026,762,408x = 2,241,676,800 × 2,241,676,800
  4. Step 4: Simplify right side
    1,026,762,408x = 5,025,114,875,658,240,000
  5. Step 5: Solve for x
    x = 5,025,114,875,658,240,000/1,026,762,408
  6. Step 6: Final answer
    x = 4,894,136,010.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.