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Finding the Third Proportional to 3,256,623 and 6,961,428

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Solution

The third proportional to 3,256,623 and 6,961,428 is: 14,880,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,623 : 6,961,428 = 6,961,428 : x
  2. Step 2: Convert to fraction form
    3,256,623/6,961,428 = 6,961,428/x
  3. Step 3: Cross multiply
    3,256,623x = 6,961,428 × 6,961,428
  4. Step 4: Simplify right side
    3,256,623x = 48,461,479,799,184
  5. Step 5: Solve for x
    x = 48,461,479,799,184/3,256,623
  6. Step 6: Final answer
    x = 14,880,899.57

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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.