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Finding the Third Proportional to 614,013,435 and 1,335,608,127

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Solution

The third proportional to 614,013,435 and 1,335,608,127 is: 2,905,228,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,013,435 : 1,335,608,127 = 1,335,608,127 : x
  2. Step 2: Convert to fraction form
    614,013,435/1,335,608,127 = 1,335,608,127/x
  3. Step 3: Cross multiply
    614,013,435x = 1,335,608,127 × 1,335,608,127
  4. Step 4: Simplify right side
    614,013,435x = 1,783,849,068,908,448,256
  5. Step 5: Solve for x
    x = 1,783,849,068,908,448,256/614,013,435
  6. Step 6: Final answer
    x = 2,905,228,073.57

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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.