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Finding the Third Proportional to 10,704,213 and 16,307,264.25

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Solution

The third proportional to 10,704,213 and 16,307,264.25 is: 24,843,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704,213 : 16,307,264.25 = 16,307,264.25 : x
  2. Step 2: Convert to fraction form
    10,704,213/16,307,264.25 = 16,307,264.25/x
  3. Step 3: Cross multiply
    10,704,213x = 16,307,264.25 × 16,307,264.25
  4. Step 4: Simplify right side
    10,704,213x = 265,926,867,319,328.06
  5. Step 5: Solve for x
    x = 265,926,867,319,328.06/10,704,213
  6. Step 6: Final answer
    x = 24,843,196.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.