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Finding the Third Proportional to 545,314,633.17 and 863,624,999.53

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Solution

The third proportional to 545,314,633.17 and 863,624,999.53 is: 1,367,739,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,314,633.17 : 863,624,999.53 = 863,624,999.53 : x
  2. Step 2: Convert to fraction form
    545,314,633.17/863,624,999.53 = 863,624,999.53/x
  3. Step 3: Cross multiply
    545,314,633.17x = 863,624,999.53 × 863,624,999.53
  4. Step 4: Simplify right side
    545,314,633.17x = 745,848,139,815,351,552
  5. Step 5: Solve for x
    x = 745,848,139,815,351,552/545,314,633.17
  6. Step 6: Final answer
    x = 1,367,739,089.41

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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.