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Finding the Third Proportional to 30,186,210 and 47,072,920.50

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Solution

The third proportional to 30,186,210 and 47,072,920.50 is: 73,406,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186,210 : 47,072,920.50 = 47,072,920.50 : x
  2. Step 2: Convert to fraction form
    30,186,210/47,072,920.50 = 47,072,920.50/x
  3. Step 3: Cross multiply
    30,186,210x = 47,072,920.50 × 47,072,920.50
  4. Step 4: Simplify right side
    30,186,210x = 2,215,859,844,399,320.25
  5. Step 5: Solve for x
    x = 2,215,859,844,399,320.25/30,186,210
  6. Step 6: Final answer
    x = 73,406,361.53

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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.