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Finding the Third Proportional to 5,027,598 and 10,658,503.50

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Solution

The third proportional to 5,027,598 and 10,658,503.50 is: 22,596,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027,598 : 10,658,503.50 = 10,658,503.50 : x
  2. Step 2: Convert to fraction form
    5,027,598/10,658,503.50 = 10,658,503.50/x
  3. Step 3: Cross multiply
    5,027,598x = 10,658,503.50 × 10,658,503.50
  4. Step 4: Simplify right side
    5,027,598x = 113,603,696,859,512.25
  5. Step 5: Solve for x
    x = 113,603,696,859,512.25/5,027,598
  6. Step 6: Final answer
    x = 22,596,018.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.