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Finding the Third Proportional to 4,698,566 and 10,260,022

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Solution

The third proportional to 4,698,566 and 10,260,022 is: 22,404,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698,566 : 10,260,022 = 10,260,022 : x
  2. Step 2: Convert to fraction form
    4,698,566/10,260,022 = 10,260,022/x
  3. Step 3: Cross multiply
    4,698,566x = 10,260,022 × 10,260,022
  4. Step 4: Simplify right side
    4,698,566x = 105,268,051,440,484
  5. Step 5: Solve for x
    x = 105,268,051,440,484/4,698,566
  6. Step 6: Final answer
    x = 22,404,293.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.