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Finding the Third Proportional to 226,781,731,225 and 485,910,779,558

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Solution

The third proportional to 226,781,731,225 and 485,910,779,558 is: 1,041,130,096,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,781,731,225 : 485,910,779,558 = 485,910,779,558 : x
  2. Step 2: Convert to fraction form
    226,781,731,225/485,910,779,558 = 485,910,779,558/x
  3. Step 3: Cross multiply
    226,781,731,225x = 485,910,779,558 × 485,910,779,558
  4. Step 4: Simplify right side
    226,781,731,225x = 236,109,285,690,663,254,360,064
  5. Step 5: Solve for x
    x = 236,109,285,690,663,254,360,064/226,781,731,225
  6. Step 6: Final answer
    x = 1,041,130,096,393.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.