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Finding the Third Proportional to 30,006,024 and 64,484,976

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Solution

The third proportional to 30,006,024 and 64,484,976 is: 138,582,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006,024 : 64,484,976 = 64,484,976 : x
  2. Step 2: Convert to fraction form
    30,006,024/64,484,976 = 64,484,976/x
  3. Step 3: Cross multiply
    30,006,024x = 64,484,976 × 64,484,976
  4. Step 4: Simplify right side
    30,006,024x = 4,158,312,129,720,576
  5. Step 5: Solve for x
    x = 4,158,312,129,720,576/30,006,024
  6. Step 6: Final answer
    x = 138,582,576.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.