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Finding the Third Proportional to 53,896,433 and 82,843,567.50

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Solution

The third proportional to 53,896,433 and 82,843,567.50 is: 127,337,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896,433 : 82,843,567.50 = 82,843,567.50 : x
  2. Step 2: Convert to fraction form
    53,896,433/82,843,567.50 = 82,843,567.50/x
  3. Step 3: Cross multiply
    53,896,433x = 82,843,567.50 × 82,843,567.50
  4. Step 4: Simplify right side
    53,896,433x = 6,863,056,676,127,056
  5. Step 5: Solve for x
    x = 6,863,056,676,127,056/53,896,433
  6. Step 6: Final answer
    x = 127,337,864.38

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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.