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Finding the Third Proportional to 1,842,869,007 and 2,607,603,138

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Solution

The third proportional to 1,842,869,007 and 2,607,603,138 is: 3,689,678,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,869,007 : 2,607,603,138 = 2,607,603,138 : x
  2. Step 2: Convert to fraction form
    1,842,869,007/2,607,603,138 = 2,607,603,138/x
  3. Step 3: Cross multiply
    1,842,869,007x = 2,607,603,138 × 2,607,603,138
  4. Step 4: Simplify right side
    1,842,869,007x = 6,799,594,125,307,447,296
  5. Step 5: Solve for x
    x = 6,799,594,125,307,447,296/1,842,869,007
  6. Step 6: Final answer
    x = 3,689,678,484.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.