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Finding the Third Proportional to 6,473,457 and 14,166,033

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Solution

The third proportional to 6,473,457 and 14,166,033 is: 30,999,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,457 : 14,166,033 = 14,166,033 : x
  2. Step 2: Convert to fraction form
    6,473,457/14,166,033 = 14,166,033/x
  3. Step 3: Cross multiply
    6,473,457x = 14,166,033 × 14,166,033
  4. Step 4: Simplify right side
    6,473,457x = 200,676,490,957,089
  5. Step 5: Solve for x
    x = 200,676,490,957,089/6,473,457
  6. Step 6: Final answer
    x = 30,999,895.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.