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Finding the Third Proportional to 292,508,808,030 and 411,916,859,028

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Solution

The third proportional to 292,508,808,030 and 411,916,859,028 is: 580,069,707,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,508,808,030 : 411,916,859,028 = 411,916,859,028 : x
  2. Step 2: Convert to fraction form
    292,508,808,030/411,916,859,028 = 411,916,859,028/x
  3. Step 3: Cross multiply
    292,508,808,030x = 411,916,859,028 × 411,916,859,028
  4. Step 4: Simplify right side
    292,508,808,030x = 169,675,498,751,493,238,947,840
  5. Step 5: Solve for x
    x = 169,675,498,751,493,238,947,840/292,508,808,030
  6. Step 6: Final answer
    x = 580,069,707,624.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.