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Finding the Third Proportional to 21,033,807 and 31,466,646

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Solution

The third proportional to 21,033,807 and 31,466,646 is: 47,074,208.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033,807 : 31,466,646 = 31,466,646 : x
  2. Step 2: Convert to fraction form
    21,033,807/31,466,646 = 31,466,646/x
  3. Step 3: Cross multiply
    21,033,807x = 31,466,646 × 31,466,646
  4. Step 4: Simplify right side
    21,033,807x = 990,149,810,489,316
  5. Step 5: Solve for x
    x = 990,149,810,489,316/21,033,807
  6. Step 6: Final answer
    x = 47,074,208.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.