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Finding the Third Proportional to 8,264,361,392.16 and 16,875,604,289.53

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Solution

The third proportional to 8,264,361,392.16 and 16,875,604,289.53 is: 34,459,531,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264,361,392.16 : 16,875,604,289.53 = 16,875,604,289.53 : x
  2. Step 2: Convert to fraction form
    8,264,361,392.16/16,875,604,289.53 = 16,875,604,289.53/x
  3. Step 3: Cross multiply
    8,264,361,392.16x = 16,875,604,289.53 × 16,875,604,289.53
  4. Step 4: Simplify right side
    8,264,361,392.16x = 284,786,020,136,870,838,272
  5. Step 5: Solve for x
    x = 284,786,020,136,870,838,272/8,264,361,392.16
  6. Step 6: Final answer
    x = 34,459,531,308.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.