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Finding the Third Proportional to 971,633,592 and 2,098,092,511

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Solution

The third proportional to 971,633,592 and 2,098,092,511 is: 4,530,506,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,633,592 : 2,098,092,511 = 2,098,092,511 : x
  2. Step 2: Convert to fraction form
    971,633,592/2,098,092,511 = 2,098,092,511/x
  3. Step 3: Cross multiply
    971,633,592x = 2,098,092,511 × 2,098,092,511
  4. Step 4: Simplify right side
    971,633,592x = 4,401,992,184,714,285,056
  5. Step 5: Solve for x
    x = 4,401,992,184,714,285,056/971,633,592
  6. Step 6: Final answer
    x = 4,530,506,377.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.