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Finding the Third Proportional to 9,621,117 and 20,746,080

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Solution

The third proportional to 9,621,117 and 20,746,080 is: 44,734,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621,117 : 20,746,080 = 20,746,080 : x
  2. Step 2: Convert to fraction form
    9,621,117/20,746,080 = 20,746,080/x
  3. Step 3: Cross multiply
    9,621,117x = 20,746,080 × 20,746,080
  4. Step 4: Simplify right side
    9,621,117x = 430,399,835,366,400
  5. Step 5: Solve for x
    x = 430,399,835,366,400/9,621,117
  6. Step 6: Final answer
    x = 44,734,913.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.