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Finding the Third Proportional to 2,838,806,964 and 6,212,770,636.50

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Solution

The third proportional to 2,838,806,964 and 6,212,770,636.50 is: 13,596,739,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,806,964 : 6,212,770,636.50 = 6,212,770,636.50 : x
  2. Step 2: Convert to fraction form
    2,838,806,964/6,212,770,636.50 = 6,212,770,636.50/x
  3. Step 3: Cross multiply
    2,838,806,964x = 6,212,770,636.50 × 6,212,770,636.50
  4. Step 4: Simplify right side
    2,838,806,964x = 38,598,518,981,756,616,704
  5. Step 5: Solve for x
    x = 38,598,518,981,756,616,704/2,838,806,964
  6. Step 6: Final answer
    x = 13,596,739,570.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.