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Finding the Third Proportional to 364,445,940 and 586,877,998.50

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Solution

The third proportional to 364,445,940 and 586,877,998.50 is: 945,066,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,445,940 : 586,877,998.50 = 586,877,998.50 : x
  2. Step 2: Convert to fraction form
    364,445,940/586,877,998.50 = 586,877,998.50/x
  3. Step 3: Cross multiply
    364,445,940x = 586,877,998.50 × 586,877,998.50
  4. Step 4: Simplify right side
    364,445,940x = 344,425,785,123,366,016
  5. Step 5: Solve for x
    x = 344,425,785,123,366,016/364,445,940
  6. Step 6: Final answer
    x = 945,066,873.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.