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Finding the Third Proportional to 4,706,898 and 10,160,292

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Solution

The third proportional to 4,706,898 and 10,160,292 is: 21,931,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706,898 : 10,160,292 = 10,160,292 : x
  2. Step 2: Convert to fraction form
    4,706,898/10,160,292 = 10,160,292/x
  3. Step 3: Cross multiply
    4,706,898x = 10,160,292 × 10,160,292
  4. Step 4: Simplify right side
    4,706,898x = 103,231,533,525,264
  5. Step 5: Solve for x
    x = 103,231,533,525,264/4,706,898
  6. Step 6: Final answer
    x = 21,931,967.41

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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.