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Finding the Third Proportional to 30,186,024 and 47,072,647.50

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Solution

The third proportional to 30,186,024 and 47,072,647.50 is: 73,405,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186,024 : 47,072,647.50 = 47,072,647.50 : x
  2. Step 2: Convert to fraction form
    30,186,024/47,072,647.50 = 47,072,647.50/x
  3. Step 3: Cross multiply
    30,186,024x = 47,072,647.50 × 47,072,647.50
  4. Step 4: Simplify right side
    30,186,024x = 2,215,834,142,659,256.25
  5. Step 5: Solve for x
    x = 2,215,834,142,659,256.25/30,186,024
  6. Step 6: Final answer
    x = 73,405,962.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.