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Finding the Third Proportional to 2,656,467,397 and 5,813,355,023

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Solution

The third proportional to 2,656,467,397 and 5,813,355,023 is: 12,721,818,706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,467,397 : 5,813,355,023 = 5,813,355,023 : x
  2. Step 2: Convert to fraction form
    2,656,467,397/5,813,355,023 = 5,813,355,023/x
  3. Step 3: Cross multiply
    2,656,467,397x = 5,813,355,023 × 5,813,355,023
  4. Step 4: Simplify right side
    2,656,467,397x = 33,795,096,623,439,331,328
  5. Step 5: Solve for x
    x = 33,795,096,623,439,331,328/2,656,467,397
  6. Step 6: Final answer
    x = 12,721,818,706.15

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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.