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Finding the Third Proportional to 31,984,946 and 45,585,002

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Solution

The third proportional to 31,984,946 and 45,585,002 is: 64,967,826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,946 : 45,585,002 = 45,585,002 : x
  2. Step 2: Convert to fraction form
    31,984,946/45,585,002 = 45,585,002/x
  3. Step 3: Cross multiply
    31,984,946x = 45,585,002 × 45,585,002
  4. Step 4: Simplify right side
    31,984,946x = 2,077,992,407,340,004
  5. Step 5: Solve for x
    x = 2,077,992,407,340,004/31,984,946
  6. Step 6: Final answer
    x = 64,967,826.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.