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Finding the Third Proportional to 909,410,596,812 and 1,956,750,103,422

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Solution

The third proportional to 909,410,596,812 and 1,956,750,103,422 is: 4,210,277,492,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,410,596,812 : 1,956,750,103,422 = 1,956,750,103,422 : x
  2. Step 2: Convert to fraction form
    909,410,596,812/1,956,750,103,422 = 1,956,750,103,422/x
  3. Step 3: Cross multiply
    909,410,596,812x = 1,956,750,103,422 × 1,956,750,103,422
  4. Step 4: Simplify right side
    909,410,596,812x = 3,828,870,967,242,007,580,246,016
  5. Step 5: Solve for x
    x = 3,828,870,967,242,007,580,246,016/909,410,596,812
  6. Step 6: Final answer
    x = 4,210,277,492,547.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.