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Finding the Third Proportional to 22,817,013,894 and 48,774,113,626.50

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Solution

The third proportional to 22,817,013,894 and 48,774,113,626.50 is: 104,260,538,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817,013,894 : 48,774,113,626.50 = 48,774,113,626.50 : x
  2. Step 2: Convert to fraction form
    22,817,013,894/48,774,113,626.50 = 48,774,113,626.50/x
  3. Step 3: Cross multiply
    22,817,013,894x = 48,774,113,626.50 × 48,774,113,626.50
  4. Step 4: Simplify right side
    22,817,013,894x = 2,378,914,160,050,732,793,856
  5. Step 5: Solve for x
    x = 2,378,914,160,050,732,793,856/22,817,013,894
  6. Step 6: Final answer
    x = 104,260,538,697.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.