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Finding the Third Proportional to 3,676,432,945,236 and 8,045,428,442,210

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Solution

The third proportional to 3,676,432,945,236 and 8,045,428,442,210 is: 17,606,446,189,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,432,945,236 : 8,045,428,442,210 = 8,045,428,442,210 : x
  2. Step 2: Convert to fraction form
    3,676,432,945,236/8,045,428,442,210 = 8,045,428,442,210/x
  3. Step 3: Cross multiply
    3,676,432,945,236x = 8,045,428,442,210 × 8,045,428,442,210
  4. Step 4: Simplify right side
    3,676,432,945,236x = 64,728,918,818,721,631,381,225,472
  5. Step 5: Solve for x
    x = 64,728,918,818,721,631,381,225,472/3,676,432,945,236
  6. Step 6: Final answer
    x = 17,606,446,189,260.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.