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Finding the Third Proportional to 1,334,014,580 and 2,897,674,963

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Solution

The third proportional to 1,334,014,580 and 2,897,674,963 is: 6,294,174,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,014,580 : 2,897,674,963 = 2,897,674,963 : x
  2. Step 2: Convert to fraction form
    1,334,014,580/2,897,674,963 = 2,897,674,963/x
  3. Step 3: Cross multiply
    1,334,014,580x = 2,897,674,963 × 2,897,674,963
  4. Step 4: Simplify right side
    1,334,014,580x = 8,396,520,191,197,050,880
  5. Step 5: Solve for x
    x = 8,396,520,191,197,050,880/1,334,014,580
  6. Step 6: Final answer
    x = 6,294,174,229.49

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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.