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Finding the Third Proportional to 66,785,117,796 and 145,570,246,920

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Solution

The third proportional to 66,785,117,796 and 145,570,246,920 is: 317,296,689,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,785,117,796 : 145,570,246,920 = 145,570,246,920 : x
  2. Step 2: Convert to fraction form
    66,785,117,796/145,570,246,920 = 145,570,246,920/x
  3. Step 3: Cross multiply
    66,785,117,796x = 145,570,246,920 × 145,570,246,920
  4. Step 4: Simplify right side
    66,785,117,796x = 21,190,696,788,349,769,744,384
  5. Step 5: Solve for x
    x = 21,190,696,788,349,769,744,384/66,785,117,796
  6. Step 6: Final answer
    x = 317,296,689,557.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.