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Finding the Third Proportional to 2,653,077,864 and 5,678,850,048

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Solution

The third proportional to 2,653,077,864 and 5,678,850,048 is: 12,155,443,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,077,864 : 5,678,850,048 = 5,678,850,048 : x
  2. Step 2: Convert to fraction form
    2,653,077,864/5,678,850,048 = 5,678,850,048/x
  3. Step 3: Cross multiply
    2,653,077,864x = 5,678,850,048 × 5,678,850,048
  4. Step 4: Simplify right side
    2,653,077,864x = 32,249,337,867,669,602,304
  5. Step 5: Solve for x
    x = 32,249,337,867,669,602,304/2,653,077,864
  6. Step 6: Final answer
    x = 12,155,443,421.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.