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Finding the Third Proportional to 10,417,303.69 and 22,851,568.13

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Solution

The third proportional to 10,417,303.69 and 22,851,568.13 is: 50,127,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417,303.69 : 22,851,568.13 = 22,851,568.13 : x
  2. Step 2: Convert to fraction form
    10,417,303.69/22,851,568.13 = 22,851,568.13/x
  3. Step 3: Cross multiply
    10,417,303.69x = 22,851,568.13 × 22,851,568.13
  4. Step 4: Simplify right side
    10,417,303.69x = 522,194,165,771,516
  5. Step 5: Solve for x
    x = 522,194,165,771,516/10,417,303.69
  6. Step 6: Final answer
    x = 50,127,574.41

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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.