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Finding the Third Proportional to 22,817,013,864 and 48,774,113,576

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Solution

The third proportional to 22,817,013,864 and 48,774,113,576 is: 104,260,538,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817,013,864 : 48,774,113,576 = 48,774,113,576 : x
  2. Step 2: Convert to fraction form
    22,817,013,864/48,774,113,576 = 48,774,113,576/x
  3. Step 3: Cross multiply
    22,817,013,864x = 48,774,113,576 × 48,774,113,576
  4. Step 4: Simplify right side
    22,817,013,864x = 2,378,914,155,124,547,387,392
  5. Step 5: Solve for x
    x = 2,378,914,155,124,547,387,392/22,817,013,864
  6. Step 6: Final answer
    x = 104,260,538,618.42

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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.