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Finding the Third Proportional to 4,706,906 and 10,160,306

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Solution

The third proportional to 4,706,906 and 10,160,306 is: 21,931,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706,906 : 10,160,306 = 10,160,306 : x
  2. Step 2: Convert to fraction form
    4,706,906/10,160,306 = 10,160,306/x
  3. Step 3: Cross multiply
    4,706,906x = 10,160,306 × 10,160,306
  4. Step 4: Simplify right side
    4,706,906x = 103,231,818,013,636
  5. Step 5: Solve for x
    x = 103,231,818,013,636/4,706,906
  6. Step 6: Final answer
    x = 21,931,990.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.