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Finding the Third Proportional to 47,248,032 and 74,021,316

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Solution

The third proportional to 47,248,032 and 74,021,316 is: 115,965,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,248,032 : 74,021,316 = 74,021,316 : x
  2. Step 2: Convert to fraction form
    47,248,032/74,021,316 = 74,021,316/x
  3. Step 3: Cross multiply
    47,248,032x = 74,021,316 × 74,021,316
  4. Step 4: Simplify right side
    47,248,032x = 5,479,155,222,371,856
  5. Step 5: Solve for x
    x = 5,479,155,222,371,856/47,248,032
  6. Step 6: Final answer
    x = 115,965,787.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.