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Finding the Third Proportional to 1,271,036,781 and 2,742,721,578

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Solution

The third proportional to 1,271,036,781 and 2,742,721,578 is: 5,918,413,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,036,781 : 2,742,721,578 = 2,742,721,578 : x
  2. Step 2: Convert to fraction form
    1,271,036,781/2,742,721,578 = 2,742,721,578/x
  3. Step 3: Cross multiply
    1,271,036,781x = 2,742,721,578 × 2,742,721,578
  4. Step 4: Simplify right side
    1,271,036,781x = 7,522,521,654,426,810,368
  5. Step 5: Solve for x
    x = 7,522,521,654,426,810,368/1,271,036,781
  6. Step 6: Final answer
    x = 5,918,413,823.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.