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Finding the Third Proportional to 545,314,664 and 863,625,045

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Solution

The third proportional to 545,314,664 and 863,625,045 is: 1,367,739,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,314,664 : 863,625,045 = 863,625,045 : x
  2. Step 2: Convert to fraction form
    545,314,664/863,625,045 = 863,625,045/x
  3. Step 3: Cross multiply
    545,314,664x = 863,625,045 × 863,625,045
  4. Step 4: Simplify right side
    545,314,664x = 745,848,218,351,251,968
  5. Step 5: Solve for x
    x = 745,848,218,351,251,968/545,314,664
  6. Step 6: Final answer
    x = 1,367,739,156.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.