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Finding the Third Proportional to 307,552,308 and 673,523,748

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Solution

The third proportional to 307,552,308 and 673,523,748 is: 1,474,982,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,552,308 : 673,523,748 = 673,523,748 : x
  2. Step 2: Convert to fraction form
    307,552,308/673,523,748 = 673,523,748/x
  3. Step 3: Cross multiply
    307,552,308x = 673,523,748 × 673,523,748
  4. Step 4: Simplify right side
    307,552,308x = 453,634,239,119,967,488
  5. Step 5: Solve for x
    x = 453,634,239,119,967,488/307,552,308
  6. Step 6: Final answer
    x = 1,474,982,392.65

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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.