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Finding the Third Proportional to 365,033,052 and 556,743,732

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Solution

The third proportional to 365,033,052 and 556,743,732 is: 849,138,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,033,052 : 556,743,732 = 556,743,732 : x
  2. Step 2: Convert to fraction form
    365,033,052/556,743,732 = 556,743,732/x
  3. Step 3: Cross multiply
    365,033,052x = 556,743,732 × 556,743,732
  4. Step 4: Simplify right side
    365,033,052x = 309,963,583,121,287,808
  5. Step 5: Solve for x
    x = 309,963,583,121,287,808/365,033,052
  6. Step 6: Final answer
    x = 849,138,403.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.