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Finding the Third Proportional to 7,875,420 and 17,095,299

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Solution

The third proportional to 7,875,420 and 17,095,299 is: 37,109,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875,420 : 17,095,299 = 17,095,299 : x
  2. Step 2: Convert to fraction form
    7,875,420/17,095,299 = 17,095,299/x
  3. Step 3: Cross multiply
    7,875,420x = 17,095,299 × 17,095,299
  4. Step 4: Simplify right side
    7,875,420x = 292,249,247,899,401
  5. Step 5: Solve for x
    x = 292,249,247,899,401/7,875,420
  6. Step 6: Final answer
    x = 37,109,036.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.