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Finding the Third Proportional to 53,242,242.26 and 81,786,603.02

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Solution

The third proportional to 53,242,242.26 and 81,786,603.02 is: 125,634,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242,242.26 : 81,786,603.02 = 81,786,603.02 : x
  2. Step 2: Convert to fraction form
    53,242,242.26/81,786,603.02 = 81,786,603.02/x
  3. Step 3: Cross multiply
    53,242,242.26x = 81,786,603.02 × 81,786,603.02
  4. Step 4: Simplify right side
    53,242,242.26x = 6,689,048,434,113,439
  5. Step 5: Solve for x
    x = 6,689,048,434,113,439/53,242,242.26
  6. Step 6: Final answer
    x = 125,634,236.10

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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.