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Finding the Third Proportional to 14,347,426 and 31,039,316

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Solution

The third proportional to 14,347,426 and 31,039,316 is: 67,150,660.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347,426 : 31,039,316 = 31,039,316 : x
  2. Step 2: Convert to fraction form
    14,347,426/31,039,316 = 31,039,316/x
  3. Step 3: Cross multiply
    14,347,426x = 31,039,316 × 31,039,316
  4. Step 4: Simplify right side
    14,347,426x = 963,439,137,747,856
  5. Step 5: Solve for x
    x = 963,439,137,747,856/14,347,426
  6. Step 6: Final answer
    x = 67,150,660.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.