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Finding the Third Proportional to 323,541,795.38 and 707,618,231.88

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Solution

The third proportional to 323,541,795.38 and 707,618,231.88 is: 1,547,631,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,541,795.38 : 707,618,231.88 = 707,618,231.88 : x
  2. Step 2: Convert to fraction form
    323,541,795.38/707,618,231.88 = 707,618,231.88/x
  3. Step 3: Cross multiply
    323,541,795.38x = 707,618,231.88 × 707,618,231.88
  4. Step 4: Simplify right side
    323,541,795.38x = 500,723,562,081,901,248
  5. Step 5: Solve for x
    x = 500,723,562,081,901,248/323,541,795.38
  6. Step 6: Final answer
    x = 1,547,631,771.97

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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.