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Finding the Third Proportional to 10,095,738 and 22,018,158

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Solution

The third proportional to 10,095,738 and 22,018,158 is: 48,020,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095,738 : 22,018,158 = 22,018,158 : x
  2. Step 2: Convert to fraction form
    10,095,738/22,018,158 = 22,018,158/x
  3. Step 3: Cross multiply
    10,095,738x = 22,018,158 × 22,018,158
  4. Step 4: Simplify right side
    10,095,738x = 484,799,281,712,964
  5. Step 5: Solve for x
    x = 484,799,281,712,964/10,095,738
  6. Step 6: Final answer
    x = 48,020,192.45

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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.