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Finding the Third Proportional to 471,796,842 and 738,497,550

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Solution

The third proportional to 471,796,842 and 738,497,550 is: 1,155,960,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,796,842 : 738,497,550 = 738,497,550 : x
  2. Step 2: Convert to fraction form
    471,796,842/738,497,550 = 738,497,550/x
  3. Step 3: Cross multiply
    471,796,842x = 738,497,550 × 738,497,550
  4. Step 4: Simplify right side
    471,796,842x = 545,378,631,356,002,496
  5. Step 5: Solve for x
    x = 545,378,631,356,002,496/471,796,842
  6. Step 6: Final answer
    x = 1,155,960,750.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.