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Finding the Third Proportional to 3,461,420 and 7,575,368

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Solution

The third proportional to 3,461,420 and 7,575,368 is: 16,578,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,420 : 7,575,368 = 7,575,368 : x
  2. Step 2: Convert to fraction form
    3,461,420/7,575,368 = 7,575,368/x
  3. Step 3: Cross multiply
    3,461,420x = 7,575,368 × 7,575,368
  4. Step 4: Simplify right side
    3,461,420x = 57,386,200,335,424
  5. Step 5: Solve for x
    x = 57,386,200,335,424/3,461,420
  6. Step 6: Final answer
    x = 16,578,803.02

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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.