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Finding the Third Proportional to 553,887,180 and 877,066,272

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Solution

The third proportional to 553,887,180 and 877,066,272 is: 1,388,812,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,887,180 : 877,066,272 = 877,066,272 : x
  2. Step 2: Convert to fraction form
    553,887,180/877,066,272 = 877,066,272/x
  3. Step 3: Cross multiply
    553,887,180x = 877,066,272 × 877,066,272
  4. Step 4: Simplify right side
    553,887,180x = 769,245,245,479,977,984
  5. Step 5: Solve for x
    x = 769,245,245,479,977,984/553,887,180
  6. Step 6: Final answer
    x = 1,388,812,150.30

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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.