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Finding the Third Proportional to 554,176,647 and 1,196,218,206

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Solution

The third proportional to 554,176,647 and 1,196,218,206 is: 2,582,097,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,176,647 : 1,196,218,206 = 1,196,218,206 : x
  2. Step 2: Convert to fraction form
    554,176,647/1,196,218,206 = 1,196,218,206/x
  3. Step 3: Cross multiply
    554,176,647x = 1,196,218,206 × 1,196,218,206
  4. Step 4: Simplify right side
    554,176,647x = 1,430,937,996,365,858,560
  5. Step 5: Solve for x
    x = 1,430,937,996,365,858,560/554,176,647
  6. Step 6: Final answer
    x = 2,582,097,250.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.