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Finding the Third Proportional to 6,814,498 and 14,574,510

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Solution

The third proportional to 6,814,498 and 14,574,510 is: 31,171,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,498 : 14,574,510 = 14,574,510 : x
  2. Step 2: Convert to fraction form
    6,814,498/14,574,510 = 14,574,510/x
  3. Step 3: Cross multiply
    6,814,498x = 14,574,510 × 14,574,510
  4. Step 4: Simplify right side
    6,814,498x = 212,416,341,740,100
  5. Step 5: Solve for x
    x = 212,416,341,740,100/6,814,498
  6. Step 6: Final answer
    x = 31,171,238.40

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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.