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Finding the Third Proportional to 636,496,768 and 1,370,932,248

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Solution

The third proportional to 636,496,768 and 1,370,932,248 is: 2,952,811,896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,496,768 : 1,370,932,248 = 1,370,932,248 : x
  2. Step 2: Convert to fraction form
    636,496,768/1,370,932,248 = 1,370,932,248/x
  3. Step 3: Cross multiply
    636,496,768x = 1,370,932,248 × 1,370,932,248
  4. Step 4: Simplify right side
    636,496,768x = 1,879,455,228,606,333,440
  5. Step 5: Solve for x
    x = 1,879,455,228,606,333,440/636,496,768
  6. Step 6: Final answer
    x = 2,952,811,896.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.