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Finding the Third Proportional to 70,359,984 and 107,632,440

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Solution

The third proportional to 70,359,984 and 107,632,440 is: 164,649,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,359,984 : 107,632,440 = 107,632,440 : x
  2. Step 2: Convert to fraction form
    70,359,984/107,632,440 = 107,632,440/x
  3. Step 3: Cross multiply
    70,359,984x = 107,632,440 × 107,632,440
  4. Step 4: Simplify right side
    70,359,984x = 11,584,742,140,353,600
  5. Step 5: Solve for x
    x = 11,584,742,140,353,600/70,359,984
  6. Step 6: Final answer
    x = 164,649,584.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.