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Finding the Third Proportional to 3,547,384.24 and 7,757,258.63

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Solution

The third proportional to 3,547,384.24 and 7,757,258.63 is: 16,963,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,384.24 : 7,757,258.63 = 7,757,258.63 : x
  2. Step 2: Convert to fraction form
    3,547,384.24/7,757,258.63 = 7,757,258.63/x
  3. Step 3: Cross multiply
    3,547,384.24x = 7,757,258.63 × 7,757,258.63
  4. Step 4: Simplify right side
    3,547,384.24x = 60,175,061,375,136.89
  5. Step 5: Solve for x
    x = 60,175,061,375,136.89/3,547,384.24
  6. Step 6: Final answer
    x = 16,963,220.58

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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.