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Finding the Third Proportional to 30,186,072 and 47,072,722.50

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Solution

The third proportional to 30,186,072 and 47,072,722.50 is: 73,406,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186,072 : 47,072,722.50 = 47,072,722.50 : x
  2. Step 2: Convert to fraction form
    30,186,072/47,072,722.50 = 47,072,722.50/x
  3. Step 3: Cross multiply
    30,186,072x = 47,072,722.50 × 47,072,722.50
  4. Step 4: Simplify right side
    30,186,072x = 2,215,841,203,562,006.25
  5. Step 5: Solve for x
    x = 2,215,841,203,562,006.25/30,186,072
  6. Step 6: Final answer
    x = 73,406,079.58

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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.