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Finding the Third Proportional to 2,358,494.81 and 5,053,343.63

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Solution

The third proportional to 2,358,494.81 and 5,053,343.63 is: 10,827,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,494.81 : 5,053,343.63 = 5,053,343.63 : x
  2. Step 2: Convert to fraction form
    2,358,494.81/5,053,343.63 = 5,053,343.63/x
  3. Step 3: Cross multiply
    2,358,494.81x = 5,053,343.63 × 5,053,343.63
  4. Step 4: Simplify right side
    2,358,494.81x = 25,536,281,792,328.14
  5. Step 5: Solve for x
    x = 25,536,281,792,328.14/2,358,494.81
  6. Step 6: Final answer
    x = 10,827,363.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.