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Finding the Third Proportional to 21,772,581,826 and 47,502,771,476

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Solution

The third proportional to 21,772,581,826 and 47,502,771,476 is: 103,640,133,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772,581,826 : 47,502,771,476 = 47,502,771,476 : x
  2. Step 2: Convert to fraction form
    21,772,581,826/47,502,771,476 = 47,502,771,476/x
  3. Step 3: Cross multiply
    21,772,581,826x = 47,502,771,476 × 47,502,771,476
  4. Step 4: Simplify right side
    21,772,581,826x = 2,256,513,297,901,079,232,512
  5. Step 5: Solve for x
    x = 2,256,513,297,901,079,232,512/21,772,581,826
  6. Step 6: Final answer
    x = 103,640,133,996.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.