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Finding the Third Proportional to 7,812,312 and 17,114,120

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Solution

The third proportional to 7,812,312 and 17,114,120 is: 37,491,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,312 : 17,114,120 = 17,114,120 : x
  2. Step 2: Convert to fraction form
    7,812,312/17,114,120 = 17,114,120/x
  3. Step 3: Cross multiply
    7,812,312x = 17,114,120 × 17,114,120
  4. Step 4: Simplify right side
    7,812,312x = 292,893,103,374,400
  5. Step 5: Solve for x
    x = 292,893,103,374,400/7,812,312
  6. Step 6: Final answer
    x = 37,491,219.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.