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Finding the Third Proportional to 2,111,118,336 and 2,863,923,352

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Solution

The third proportional to 2,111,118,336 and 2,863,923,352 is: 3,885,171,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,118,336 : 2,863,923,352 = 2,863,923,352 : x
  2. Step 2: Convert to fraction form
    2,111,118,336/2,863,923,352 = 2,863,923,352/x
  3. Step 3: Cross multiply
    2,111,118,336x = 2,863,923,352 × 2,863,923,352
  4. Step 4: Simplify right side
    2,111,118,336x = 8,202,056,966,130,916,352
  5. Step 5: Solve for x
    x = 8,202,056,966,130,916,352/2,111,118,336
  6. Step 6: Final answer
    x = 3,885,171,582.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.