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Finding the Third Proportional to 27,860,053.50 and 58,540,201.50

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Solution

The third proportional to 27,860,053.50 and 58,540,201.50 is: 123,006,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860,053.50 : 58,540,201.50 = 58,540,201.50 : x
  2. Step 2: Convert to fraction form
    27,860,053.50/58,540,201.50 = 58,540,201.50/x
  3. Step 3: Cross multiply
    27,860,053.50x = 58,540,201.50 × 58,540,201.50
  4. Step 4: Simplify right side
    27,860,053.50x = 3,426,955,191,660,602
  5. Step 5: Solve for x
    x = 3,426,955,191,660,602/27,860,053.50
  6. Step 6: Final answer
    x = 123,006,052.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.