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Finding the Third Proportional to 2,637,160,420 and 5,491,348,064

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Solution

The third proportional to 2,637,160,420 and 5,491,348,064 is: 11,434,611,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637,160,420 : 5,491,348,064 = 5,491,348,064 : x
  2. Step 2: Convert to fraction form
    2,637,160,420/5,491,348,064 = 5,491,348,064/x
  3. Step 3: Cross multiply
    2,637,160,420x = 5,491,348,064 × 5,491,348,064
  4. Step 4: Simplify right side
    2,637,160,420x = 30,154,903,559,996,547,072
  5. Step 5: Solve for x
    x = 30,154,903,559,996,547,072/2,637,160,420
  6. Step 6: Final answer
    x = 11,434,611,004.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.