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Finding the Third Proportional to 614,013,426 and 1,335,608,112

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Solution

The third proportional to 614,013,426 and 1,335,608,112 is: 2,905,228,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,013,426 : 1,335,608,112 = 1,335,608,112 : x
  2. Step 2: Convert to fraction form
    614,013,426/1,335,608,112 = 1,335,608,112/x
  3. Step 3: Cross multiply
    614,013,426x = 1,335,608,112 × 1,335,608,112
  4. Step 4: Simplify right side
    614,013,426x = 1,783,849,028,840,204,544
  5. Step 5: Solve for x
    x = 1,783,849,028,840,204,544/614,013,426
  6. Step 6: Final answer
    x = 2,905,228,050.89

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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.