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Finding the Third Proportional to 400,238,582,998 and 609,735,796,047

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Solution

The third proportional to 400,238,582,998 and 609,735,796,047 is: 928,890,308,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,238,582,998 : 609,735,796,047 = 609,735,796,047 : x
  2. Step 2: Convert to fraction form
    400,238,582,998/609,735,796,047 = 609,735,796,047/x
  3. Step 3: Cross multiply
    400,238,582,998x = 609,735,796,047 × 609,735,796,047
  4. Step 4: Simplify right side
    400,238,582,998x = 371,777,740,981,068,808,323,072
  5. Step 5: Solve for x
    x = 371,777,740,981,068,808,323,072/400,238,582,998
  6. Step 6: Final answer
    x = 928,890,308,865.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.