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Finding the Third Proportional to 14,035,476 and 30,712,596

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Solution

The third proportional to 14,035,476 and 30,712,596 is: 67,205,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035,476 : 30,712,596 = 30,712,596 : x
  2. Step 2: Convert to fraction form
    14,035,476/30,712,596 = 30,712,596/x
  3. Step 3: Cross multiply
    14,035,476x = 30,712,596 × 30,712,596
  4. Step 4: Simplify right side
    14,035,476x = 943,263,553,059,216
  5. Step 5: Solve for x
    x = 943,263,553,059,216/14,035,476
  6. Step 6: Final answer
    x = 67,205,668.91

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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.