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Finding the Third Proportional to 47,975,847.75 and 70,164,484.88

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Solution

The third proportional to 47,975,847.75 and 70,164,484.88 is: 102,615,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,975,847.75 : 70,164,484.88 = 70,164,484.88 : x
  2. Step 2: Convert to fraction form
    47,975,847.75/70,164,484.88 = 70,164,484.88/x
  3. Step 3: Cross multiply
    47,975,847.75x = 70,164,484.88 × 70,164,484.88
  4. Step 4: Simplify right side
    47,975,847.75x = 4,923,054,937,774,104
  5. Step 5: Solve for x
    x = 4,923,054,937,774,104/47,975,847.75
  6. Step 6: Final answer
    x = 102,615,277.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.