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Finding the Third Proportional to 1,226,610,356 and 2,678,020,253

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Solution

The third proportional to 1,226,610,356 and 2,678,020,253 is: 5,846,838,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,610,356 : 2,678,020,253 = 2,678,020,253 : x
  2. Step 2: Convert to fraction form
    1,226,610,356/2,678,020,253 = 2,678,020,253/x
  3. Step 3: Cross multiply
    1,226,610,356x = 2,678,020,253 × 2,678,020,253
  4. Step 4: Simplify right side
    1,226,610,356x = 7,171,792,475,478,183,936
  5. Step 5: Solve for x
    x = 7,171,792,475,478,183,936/1,226,610,356
  6. Step 6: Final answer
    x = 5,846,838,354.49

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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.