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Finding the Third Proportional to 2,877,127 and 6,296,076

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Solution

The third proportional to 2,877,127 and 6,296,076 is: 13,777,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,127 : 6,296,076 = 6,296,076 : x
  2. Step 2: Convert to fraction form
    2,877,127/6,296,076 = 6,296,076/x
  3. Step 3: Cross multiply
    2,877,127x = 6,296,076 × 6,296,076
  4. Step 4: Simplify right side
    2,877,127x = 39,640,572,997,776
  5. Step 5: Solve for x
    x = 39,640,572,997,776/2,877,127
  6. Step 6: Final answer
    x = 13,777,832.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.