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Finding the Third Proportional to 2,862,910,276 and 6,261,721,736

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Solution

The third proportional to 2,862,910,276 and 6,261,721,736 is: 13,695,559,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862,910,276 : 6,261,721,736 = 6,261,721,736 : x
  2. Step 2: Convert to fraction form
    2,862,910,276/6,261,721,736 = 6,261,721,736/x
  3. Step 3: Cross multiply
    2,862,910,276x = 6,261,721,736 × 6,261,721,736
  4. Step 4: Simplify right side
    2,862,910,276x = 39,209,159,099,094,851,584
  5. Step 5: Solve for x
    x = 39,209,159,099,094,851,584/2,862,910,276
  6. Step 6: Final answer
    x = 13,695,559,874.09

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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.