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Finding the Third Proportional to 304,772,547.38 and 667,771,099.31

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Solution

The third proportional to 304,772,547.38 and 667,771,099.31 is: 1,463,118,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,772,547.38 : 667,771,099.31 = 667,771,099.31 : x
  2. Step 2: Convert to fraction form
    304,772,547.38/667,771,099.31 = 667,771,099.31/x
  3. Step 3: Cross multiply
    304,772,547.38x = 667,771,099.31 × 667,771,099.31
  4. Step 4: Simplify right side
    304,772,547.38x = 445,918,241,077,024,768
  5. Step 5: Solve for x
    x = 445,918,241,077,024,768/304,772,547.38
  6. Step 6: Final answer
    x = 1,463,118,134.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.