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Finding the Third Proportional to 27,477,169 and 42,506,988

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Solution

The third proportional to 27,477,169 and 42,506,988 is: 65,758,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477,169 : 42,506,988 = 42,506,988 : x
  2. Step 2: Convert to fraction form
    27,477,169/42,506,988 = 42,506,988/x
  3. Step 3: Cross multiply
    27,477,169x = 42,506,988 × 42,506,988
  4. Step 4: Simplify right side
    27,477,169x = 1,806,844,028,832,144
  5. Step 5: Solve for x
    x = 1,806,844,028,832,144/27,477,169
  6. Step 6: Final answer
    x = 65,758,012.73

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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.