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Finding the Third Proportional to 6,646,784 and 14,459,984

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Solution

The third proportional to 6,646,784 and 14,459,984 is: 31,457,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646,784 : 14,459,984 = 14,459,984 : x
  2. Step 2: Convert to fraction form
    6,646,784/14,459,984 = 14,459,984/x
  3. Step 3: Cross multiply
    6,646,784x = 14,459,984 × 14,459,984
  4. Step 4: Simplify right side
    6,646,784x = 209,091,137,280,256
  5. Step 5: Solve for x
    x = 209,091,137,280,256/6,646,784
  6. Step 6: Final answer
    x = 31,457,489.41

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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.