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Finding the Third Proportional to 30,300,077 and 47,013,213

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Solution

The third proportional to 30,300,077 and 47,013,213 is: 72,945,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300,077 : 47,013,213 = 47,013,213 : x
  2. Step 2: Convert to fraction form
    30,300,077/47,013,213 = 47,013,213/x
  3. Step 3: Cross multiply
    30,300,077x = 47,013,213 × 47,013,213
  4. Step 4: Simplify right side
    30,300,077x = 2,210,242,196,583,369
  5. Step 5: Solve for x
    x = 2,210,242,196,583,369/30,300,077
  6. Step 6: Final answer
    x = 72,945,101.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.