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Finding the Third Proportional to 9,790,516 and 13,762,862

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Solution

The third proportional to 9,790,516 and 13,762,862 is: 19,346,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,516 : 13,762,862 = 13,762,862 : x
  2. Step 2: Convert to fraction form
    9,790,516/13,762,862 = 13,762,862/x
  3. Step 3: Cross multiply
    9,790,516x = 13,762,862 × 13,762,862
  4. Step 4: Simplify right side
    9,790,516x = 189,416,370,431,044
  5. Step 5: Solve for x
    x = 189,416,370,431,044/9,790,516
  6. Step 6: Final answer
    x = 19,346,924.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.