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Finding the Third Proportional to 10,804,294 and 16,480,840

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Solution

The third proportional to 10,804,294 and 16,480,840 is: 25,139,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804,294 : 16,480,840 = 16,480,840 : x
  2. Step 2: Convert to fraction form
    10,804,294/16,480,840 = 16,480,840/x
  3. Step 3: Cross multiply
    10,804,294x = 16,480,840 × 16,480,840
  4. Step 4: Simplify right side
    10,804,294x = 271,618,087,105,600
  5. Step 5: Solve for x
    x = 271,618,087,105,600/10,804,294
  6. Step 6: Final answer
    x = 25,139,827.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.