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Finding the Third Proportional to 113,870,606,952 and 237,166,216,584

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Solution

The third proportional to 113,870,606,952 and 237,166,216,584 is: 493,962,540,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,870,606,952 : 237,166,216,584 = 237,166,216,584 : x
  2. Step 2: Convert to fraction form
    113,870,606,952/237,166,216,584 = 237,166,216,584/x
  3. Step 3: Cross multiply
    113,870,606,952x = 237,166,216,584 × 237,166,216,584
  4. Step 4: Simplify right side
    113,870,606,952x = 56,247,814,288,768,793,313,280
  5. Step 5: Solve for x
    x = 56,247,814,288,768,793,313,280/113,870,606,952
  6. Step 6: Final answer
    x = 493,962,540,416.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.