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Finding the Third Proportional to 6,457,995 and 14,050,953

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Solution

The third proportional to 6,457,995 and 14,050,953 is: 30,571,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,995 : 14,050,953 = 14,050,953 : x
  2. Step 2: Convert to fraction form
    6,457,995/14,050,953 = 14,050,953/x
  3. Step 3: Cross multiply
    6,457,995x = 14,050,953 × 14,050,953
  4. Step 4: Simplify right side
    6,457,995x = 197,429,280,208,209
  5. Step 5: Solve for x
    x = 197,429,280,208,209/6,457,995
  6. Step 6: Final answer
    x = 30,571,296.54

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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.