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Finding the Third Proportional to 21,033,480 and 31,466,133

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Solution

The third proportional to 21,033,480 and 31,466,133 is: 47,073,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033,480 : 31,466,133 = 31,466,133 : x
  2. Step 2: Convert to fraction form
    21,033,480/31,466,133 = 31,466,133/x
  3. Step 3: Cross multiply
    21,033,480x = 31,466,133 × 31,466,133
  4. Step 4: Simplify right side
    21,033,480x = 990,117,525,973,689
  5. Step 5: Solve for x
    x = 990,117,525,973,689/21,033,480
  6. Step 6: Final answer
    x = 47,073,405.16

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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.