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Finding the Third Proportional to 6,423,406 and 9,457,674

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Solution

The third proportional to 6,423,406 and 9,457,674 is: 13,925,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,406 : 9,457,674 = 9,457,674 : x
  2. Step 2: Convert to fraction form
    6,423,406/9,457,674 = 9,457,674/x
  3. Step 3: Cross multiply
    6,423,406x = 9,457,674 × 9,457,674
  4. Step 4: Simplify right side
    6,423,406x = 89,447,597,490,276
  5. Step 5: Solve for x
    x = 89,447,597,490,276/6,423,406
  6. Step 6: Final answer
    x = 13,925,259.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.