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Finding the Third Proportional to 2,071,557,029 and 4,438,595,254

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Solution

The third proportional to 2,071,557,029 and 4,438,595,254 is: 9,510,299,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,557,029 : 4,438,595,254 = 4,438,595,254 : x
  2. Step 2: Convert to fraction form
    2,071,557,029/4,438,595,254 = 4,438,595,254/x
  3. Step 3: Cross multiply
    2,071,557,029x = 4,438,595,254 × 4,438,595,254
  4. Step 4: Simplify right side
    2,071,557,029x = 19,701,127,828,831,326,208
  5. Step 5: Solve for x
    x = 19,701,127,828,831,326,208/2,071,557,029
  6. Step 6: Final answer
    x = 9,510,299,524.96

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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.