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Finding the Third Proportional to 736,385,961 and 1,143,379,585.50

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Solution

The third proportional to 736,385,961 and 1,143,379,585.50 is: 1,775,314,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,385,961 : 1,143,379,585.50 = 1,143,379,585.50 : x
  2. Step 2: Convert to fraction form
    736,385,961/1,143,379,585.50 = 1,143,379,585.50/x
  3. Step 3: Cross multiply
    736,385,961x = 1,143,379,585.50 × 1,143,379,585.50
  4. Step 4: Simplify right side
    736,385,961x = 1,307,316,876,538,151,936
  5. Step 5: Solve for x
    x = 1,307,316,876,538,151,936/736,385,961
  6. Step 6: Final answer
    x = 1,775,314,774.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.