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Finding the Third Proportional to 24,623,173,824 and 49,931,516,252

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Solution

The third proportional to 24,623,173,824 and 49,931,516,252 is: 101,252,435,329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,623,173,824 : 49,931,516,252 = 49,931,516,252 : x
  2. Step 2: Convert to fraction form
    24,623,173,824/49,931,516,252 = 49,931,516,252/x
  3. Step 3: Cross multiply
    24,623,173,824x = 49,931,516,252 × 49,931,516,252
  4. Step 4: Simplify right side
    24,623,173,824x = 2,493,156,315,223,740,121,088
  5. Step 5: Solve for x
    x = 2,493,156,315,223,740,121,088/24,623,173,824
  6. Step 6: Final answer
    x = 101,252,435,329.59

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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.