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Finding the Third Proportional to 53,896,434 and 82,843,569

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Solution

The third proportional to 53,896,434 and 82,843,569 is: 127,337,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896,434 : 82,843,569 = 82,843,569 : x
  2. Step 2: Convert to fraction form
    53,896,434/82,843,569 = 82,843,569/x
  3. Step 3: Cross multiply
    53,896,434x = 82,843,569 × 82,843,569
  4. Step 4: Simplify right side
    53,896,434x = 6,863,056,924,657,761
  5. Step 5: Solve for x
    x = 6,863,056,924,657,761/53,896,434
  6. Step 6: Final answer
    x = 127,337,866.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.