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Finding the Third Proportional to 5,674,184 and 12,312,880

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Solution

The third proportional to 5,674,184 and 12,312,880 is: 26,718,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,184 : 12,312,880 = 12,312,880 : x
  2. Step 2: Convert to fraction form
    5,674,184/12,312,880 = 12,312,880/x
  3. Step 3: Cross multiply
    5,674,184x = 12,312,880 × 12,312,880
  4. Step 4: Simplify right side
    5,674,184x = 151,607,013,894,400
  5. Step 5: Solve for x
    x = 151,607,013,894,400/5,674,184
  6. Step 6: Final answer
    x = 26,718,734.16

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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.