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Finding the Third Proportional to 1,334,014,656 and 2,897,675,125

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Solution

The third proportional to 1,334,014,656 and 2,897,675,125 is: 6,294,174,574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,014,656 : 2,897,675,125 = 2,897,675,125 : x
  2. Step 2: Convert to fraction form
    1,334,014,656/2,897,675,125 = 2,897,675,125/x
  3. Step 3: Cross multiply
    1,334,014,656x = 2,897,675,125 × 2,897,675,125
  4. Step 4: Simplify right side
    1,334,014,656x = 8,396,521,130,043,765,760
  5. Step 5: Solve for x
    x = 8,396,521,130,043,765,760/1,334,014,656
  6. Step 6: Final answer
    x = 6,294,174,574.68

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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.