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Finding the Third Proportional to 4,829,160 and 10,234,044

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Solution

The third proportional to 4,829,160 and 10,234,044 is: 21,688,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,160 : 10,234,044 = 10,234,044 : x
  2. Step 2: Convert to fraction form
    4,829,160/10,234,044 = 10,234,044/x
  3. Step 3: Cross multiply
    4,829,160x = 10,234,044 × 10,234,044
  4. Step 4: Simplify right side
    4,829,160x = 104,735,656,593,936
  5. Step 5: Solve for x
    x = 104,735,656,593,936/4,829,160
  6. Step 6: Final answer
    x = 21,688,172.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.