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Finding the Third Proportional to 6,842,402 and 14,814,106

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Solution

The third proportional to 6,842,402 and 14,814,106 is: 32,073,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,402 : 14,814,106 = 14,814,106 : x
  2. Step 2: Convert to fraction form
    6,842,402/14,814,106 = 14,814,106/x
  3. Step 3: Cross multiply
    6,842,402x = 14,814,106 × 14,814,106
  4. Step 4: Simplify right side
    6,842,402x = 219,457,736,579,236
  5. Step 5: Solve for x
    x = 219,457,736,579,236/6,842,402
  6. Step 6: Final answer
    x = 32,073,201.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.