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Finding the Third Proportional to 13,884,210 and 30,156,543

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Solution

The third proportional to 13,884,210 and 30,156,543 is: 65,500,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884,210 : 30,156,543 = 30,156,543 : x
  2. Step 2: Convert to fraction form
    13,884,210/30,156,543 = 30,156,543/x
  3. Step 3: Cross multiply
    13,884,210x = 30,156,543 × 30,156,543
  4. Step 4: Simplify right side
    13,884,210x = 909,417,085,710,849
  5. Step 5: Solve for x
    x = 909,417,085,710,849/13,884,210
  6. Step 6: Final answer
    x = 65,500,095.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.