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Finding the Third Proportional to 2,684,711,309.06 and 5,834,167,772.63

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Solution

The third proportional to 2,684,711,309.06 and 5,834,167,772.63 is: 12,678,276,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684,711,309.06 : 5,834,167,772.63 = 5,834,167,772.63 : x
  2. Step 2: Convert to fraction form
    2,684,711,309.06/5,834,167,772.63 = 5,834,167,772.63/x
  3. Step 3: Cross multiply
    2,684,711,309.06x = 5,834,167,772.63 × 5,834,167,772.63
  4. Step 4: Simplify right side
    2,684,711,309.06x = 34,037,513,599,136,153,600
  5. Step 5: Solve for x
    x = 34,037,513,599,136,153,600/2,684,711,309.06
  6. Step 6: Final answer
    x = 12,678,276,984.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.