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Finding the Third Proportional to 8,845,935,576 and 19,358,050,224

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Solution

The third proportional to 8,845,935,576 and 19,358,050,224 is: 42,362,292,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,845,935,576 : 19,358,050,224 = 19,358,050,224 : x
  2. Step 2: Convert to fraction form
    8,845,935,576/19,358,050,224 = 19,358,050,224/x
  3. Step 3: Cross multiply
    8,845,935,576x = 19,358,050,224 × 19,358,050,224
  4. Step 4: Simplify right side
    8,845,935,576x = 374,734,108,474,906,443,776
  5. Step 5: Solve for x
    x = 374,734,108,474,906,443,776/8,845,935,576
  6. Step 6: Final answer
    x = 42,362,292,292.93

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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.