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Finding the Third Proportional to 24,623,173,980 and 49,931,516,538

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Solution

The third proportional to 24,623,173,980 and 49,931,516,538 is: 101,252,435,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,623,173,980 : 49,931,516,538 = 49,931,516,538 : x
  2. Step 2: Convert to fraction form
    24,623,173,980/49,931,516,538 = 49,931,516,538/x
  3. Step 3: Cross multiply
    24,623,173,980x = 49,931,516,538 × 49,931,516,538
  4. Step 4: Simplify right side
    24,623,173,980x = 2,493,156,343,784,567,472,128
  5. Step 5: Solve for x
    x = 2,493,156,343,784,567,472,128/24,623,173,980
  6. Step 6: Final answer
    x = 101,252,435,848.02

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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.