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Finding the Third Proportional to 4,629,534 and 10,141,724

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Solution

The third proportional to 4,629,534 and 10,141,724 is: 22,217,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629,534 : 10,141,724 = 10,141,724 : x
  2. Step 2: Convert to fraction form
    4,629,534/10,141,724 = 10,141,724/x
  3. Step 3: Cross multiply
    4,629,534x = 10,141,724 × 10,141,724
  4. Step 4: Simplify right side
    4,629,534x = 102,854,565,692,176
  5. Step 5: Solve for x
    x = 102,854,565,692,176/4,629,534
  6. Step 6: Final answer
    x = 22,217,045.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.