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Finding the Third Proportional to 11,106,580 and 16,778,210

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Solution

The third proportional to 11,106,580 and 16,778,210 is: 25,346,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106,580 : 16,778,210 = 16,778,210 : x
  2. Step 2: Convert to fraction form
    11,106,580/16,778,210 = 16,778,210/x
  3. Step 3: Cross multiply
    11,106,580x = 16,778,210 × 16,778,210
  4. Step 4: Simplify right side
    11,106,580x = 281,508,330,804,100
  5. Step 5: Solve for x
    x = 281,508,330,804,100/11,106,580
  6. Step 6: Final answer
    x = 25,346,085.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.