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Finding the Third Proportional to 14,684,280 and 31,494,270

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Solution

The third proportional to 14,684,280 and 31,494,270 is: 67,547,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684,280 : 31,494,270 = 31,494,270 : x
  2. Step 2: Convert to fraction form
    14,684,280/31,494,270 = 31,494,270/x
  3. Step 3: Cross multiply
    14,684,280x = 31,494,270 × 31,494,270
  4. Step 4: Simplify right side
    14,684,280x = 991,889,042,832,900
  5. Step 5: Solve for x
    x = 991,889,042,832,900/14,684,280
  6. Step 6: Final answer
    x = 67,547,679.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.