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Finding the Third Proportional to 2,684,704,835 and 5,445,960,701

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Solution

The third proportional to 2,684,704,835 and 5,445,960,701 is: 11,047,206,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,704,835 : 5,445,960,701 = 5,445,960,701 : x
  2. Step 2: Convert to fraction form
    2,684,704,835/5,445,960,701 = 5,445,960,701/x
  3. Step 3: Cross multiply
    2,684,704,835x = 5,445,960,701 × 5,445,960,701
  4. Step 4: Simplify right side
    2,684,704,835x = 29,658,487,956,836,413,440
  5. Step 5: Solve for x
    x = 29,658,487,956,836,413,440/2,684,704,835
  6. Step 6: Final answer
    x = 11,047,206,221.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.