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Finding the Third Proportional to 30,299,907 and 47,013,005

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Solution

The third proportional to 30,299,907 and 47,013,005 is: 72,944,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299,907 : 47,013,005 = 47,013,005 : x
  2. Step 2: Convert to fraction form
    30,299,907/47,013,005 = 47,013,005/x
  3. Step 3: Cross multiply
    30,299,907x = 47,013,005 × 47,013,005
  4. Step 4: Simplify right side
    30,299,907x = 2,210,222,639,130,025
  5. Step 5: Solve for x
    x = 2,210,222,639,130,025/30,299,907
  6. Step 6: Final answer
    x = 72,944,865.45

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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.