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Finding the Third Proportional to 14,492,349 and 31,254,574

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Solution

The third proportional to 14,492,349 and 31,254,574 is: 67,404,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492,349 : 31,254,574 = 31,254,574 : x
  2. Step 2: Convert to fraction form
    14,492,349/31,254,574 = 31,254,574/x
  3. Step 3: Cross multiply
    14,492,349x = 31,254,574 × 31,254,574
  4. Step 4: Simplify right side
    14,492,349x = 976,848,395,921,476
  5. Step 5: Solve for x
    x = 976,848,395,921,476/14,492,349
  6. Step 6: Final answer
    x = 67,404,421.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.