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Finding the Third Proportional to 27,768,327,552 and 42,302,177,955

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Solution

The third proportional to 27,768,327,552 and 42,302,177,955 is: 64,442,997,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768,327,552 : 42,302,177,955 = 42,302,177,955 : x
  2. Step 2: Convert to fraction form
    27,768,327,552/42,302,177,955 = 42,302,177,955/x
  3. Step 3: Cross multiply
    27,768,327,552x = 42,302,177,955 × 42,302,177,955
  4. Step 4: Simplify right side
    27,768,327,552x = 1,789,474,259,736,488,050,688
  5. Step 5: Solve for x
    x = 1,789,474,259,736,488,050,688/27,768,327,552
  6. Step 6: Final answer
    x = 64,442,997,382.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.