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Finding the Third Proportional to 27,477,175 and 42,506,997

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Solution

The third proportional to 27,477,175 and 42,506,997 is: 65,758,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477,175 : 42,506,997 = 42,506,997 : x
  2. Step 2: Convert to fraction form
    27,477,175/42,506,997 = 42,506,997/x
  3. Step 3: Cross multiply
    27,477,175x = 42,506,997 × 42,506,997
  4. Step 4: Simplify right side
    27,477,175x = 1,806,844,793,958,009
  5. Step 5: Solve for x
    x = 1,806,844,793,958,009/27,477,175
  6. Step 6: Final answer
    x = 65,758,026.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.