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Finding the Third Proportional to 4,712,094 and 10,258,450

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Solution

The third proportional to 4,712,094 and 10,258,450 is: 22,333,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,094 : 10,258,450 = 10,258,450 : x
  2. Step 2: Convert to fraction form
    4,712,094/10,258,450 = 10,258,450/x
  3. Step 3: Cross multiply
    4,712,094x = 10,258,450 × 10,258,450
  4. Step 4: Simplify right side
    4,712,094x = 105,235,796,402,500
  5. Step 5: Solve for x
    x = 105,235,796,402,500/4,712,094
  6. Step 6: Final answer
    x = 22,333,127.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.