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Finding the Third Proportional to 24,623,173,813.50 and 49,931,516,232

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Solution

The third proportional to 24,623,173,813.50 and 49,931,516,232 is: 101,252,435,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,623,173,813.50 : 49,931,516,232 = 49,931,516,232 : x
  2. Step 2: Convert to fraction form
    24,623,173,813.50/49,931,516,232 = 49,931,516,232/x
  3. Step 3: Cross multiply
    24,623,173,813.50x = 49,931,516,232 × 49,931,516,232
  4. Step 4: Simplify right side
    24,623,173,813.50x = 2,493,156,313,226,479,665,152
  5. Step 5: Solve for x
    x = 2,493,156,313,226,479,665,152/24,623,173,813.50
  6. Step 6: Final answer
    x = 101,252,435,291.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.