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Finding the Third Proportional to 2,071,557,038 and 4,438,595,272

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Solution

The third proportional to 2,071,557,038 and 4,438,595,272 is: 9,510,299,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,557,038 : 4,438,595,272 = 4,438,595,272 : x
  2. Step 2: Convert to fraction form
    2,071,557,038/4,438,595,272 = 4,438,595,272/x
  3. Step 3: Cross multiply
    2,071,557,038x = 4,438,595,272 × 4,438,595,272
  4. Step 4: Simplify right side
    2,071,557,038x = 19,701,127,988,620,754,944
  5. Step 5: Solve for x
    x = 19,701,127,988,620,754,944/2,071,557,038
  6. Step 6: Final answer
    x = 9,510,299,560.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.