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Finding the Third Proportional to 1,226,610,358 and 2,678,020,257

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Solution

The third proportional to 1,226,610,358 and 2,678,020,257 is: 5,846,838,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,610,358 : 2,678,020,257 = 2,678,020,257 : x
  2. Step 2: Convert to fraction form
    1,226,610,358/2,678,020,257 = 2,678,020,257/x
  3. Step 3: Cross multiply
    1,226,610,358x = 2,678,020,257 × 2,678,020,257
  4. Step 4: Simplify right side
    1,226,610,358x = 7,171,792,496,902,345,728
  5. Step 5: Solve for x
    x = 7,171,792,496,902,345,728/1,226,610,358
  6. Step 6: Final answer
    x = 5,846,838,362.43

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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.