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Finding the Third Proportional to 10,461,954 and 22,168,428

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Solution

The third proportional to 10,461,954 and 22,168,428 is: 46,973,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461,954 : 22,168,428 = 22,168,428 : x
  2. Step 2: Convert to fraction form
    10,461,954/22,168,428 = 22,168,428/x
  3. Step 3: Cross multiply
    10,461,954x = 22,168,428 × 22,168,428
  4. Step 4: Simplify right side
    10,461,954x = 491,439,199,991,184
  5. Step 5: Solve for x
    x = 491,439,199,991,184/10,461,954
  6. Step 6: Final answer
    x = 46,973,940.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.