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Finding the Third Proportional to 45,918,432,029 and 71,295,243,309

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Solution

The third proportional to 45,918,432,029 and 71,295,243,309 is: 110,696,543,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,918,432,029 : 71,295,243,309 = 71,295,243,309 : x
  2. Step 2: Convert to fraction form
    45,918,432,029/71,295,243,309 = 71,295,243,309/x
  3. Step 3: Cross multiply
    45,918,432,029x = 71,295,243,309 × 71,295,243,309
  4. Step 4: Simplify right side
    45,918,432,029x = 5,083,011,718,489,509,462,016
  5. Step 5: Solve for x
    x = 5,083,011,718,489,509,462,016/45,918,432,029
  6. Step 6: Final answer
    x = 110,696,543,716.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.