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Finding the Third Proportional to 1,071,773,202 and 2,321,641,944

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Solution

The third proportional to 1,071,773,202 and 2,321,641,944 is: 5,029,068,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,773,202 : 2,321,641,944 = 2,321,641,944 : x
  2. Step 2: Convert to fraction form
    1,071,773,202/2,321,641,944 = 2,321,641,944/x
  3. Step 3: Cross multiply
    1,071,773,202x = 2,321,641,944 × 2,321,641,944
  4. Step 4: Simplify right side
    1,071,773,202x = 5,390,021,316,140,099,584
  5. Step 5: Solve for x
    x = 5,390,021,316,140,099,584/1,071,773,202
  6. Step 6: Final answer
    x = 5,029,068,935.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.