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Finding the Third Proportional to 53,103,041.50 and 82,012,877.50

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Solution

The third proportional to 53,103,041.50 and 82,012,877.50 is: 126,661,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103,041.50 : 82,012,877.50 = 82,012,877.50 : x
  2. Step 2: Convert to fraction form
    53,103,041.50/82,012,877.50 = 82,012,877.50/x
  3. Step 3: Cross multiply
    53,103,041.50x = 82,012,877.50 × 82,012,877.50
  4. Step 4: Simplify right side
    53,103,041.50x = 6,726,112,075,830,006
  5. Step 5: Solve for x
    x = 6,726,112,075,830,006/53,103,041.50
  6. Step 6: Final answer
    x = 126,661,522.31

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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.