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Finding the Third Proportional to 2,778,243,324 and 5,785,124,376

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Solution

The third proportional to 2,778,243,324 and 5,785,124,376 is: 12,046,340,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778,243,324 : 5,785,124,376 = 5,785,124,376 : x
  2. Step 2: Convert to fraction form
    2,778,243,324/5,785,124,376 = 5,785,124,376/x
  3. Step 3: Cross multiply
    2,778,243,324x = 5,785,124,376 × 5,785,124,376
  4. Step 4: Simplify right side
    2,778,243,324x = 33,467,664,045,789,388,800
  5. Step 5: Solve for x
    x = 33,467,664,045,789,388,800/2,778,243,324
  6. Step 6: Final answer
    x = 12,046,340,130.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.