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Finding the Third Proportional to 5,207,460,448 and 7,859,617,152

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Solution

The third proportional to 5,207,460,448 and 7,859,617,152 is: 11,862,515,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207,460,448 : 7,859,617,152 = 7,859,617,152 : x
  2. Step 2: Convert to fraction form
    5,207,460,448/7,859,617,152 = 7,859,617,152/x
  3. Step 3: Cross multiply
    5,207,460,448x = 7,859,617,152 × 7,859,617,152
  4. Step 4: Simplify right side
    5,207,460,448x = 61,773,581,776,012,591,104
  5. Step 5: Solve for x
    x = 61,773,581,776,012,591,104/5,207,460,448
  6. Step 6: Final answer
    x = 11,862,515,787.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.