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Finding the Third Proportional to 49,163,712 and 70,821,984

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Solution

The third proportional to 49,163,712 and 70,821,984 is: 102,021,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,163,712 : 70,821,984 = 70,821,984 : x
  2. Step 2: Convert to fraction form
    49,163,712/70,821,984 = 70,821,984/x
  3. Step 3: Cross multiply
    49,163,712x = 70,821,984 × 70,821,984
  4. Step 4: Simplify right side
    49,163,712x = 5,015,753,417,696,256
  5. Step 5: Solve for x
    x = 5,015,753,417,696,256/49,163,712
  6. Step 6: Final answer
    x = 102,021,454.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.