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Finding the Third Proportional to 12,905,196 and 19,808,970

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Solution

The third proportional to 12,905,196 and 19,808,970 is: 30,405,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905,196 : 19,808,970 = 19,808,970 : x
  2. Step 2: Convert to fraction form
    12,905,196/19,808,970 = 19,808,970/x
  3. Step 3: Cross multiply
    12,905,196x = 19,808,970 × 19,808,970
  4. Step 4: Simplify right side
    12,905,196x = 392,395,292,460,900
  5. Step 5: Solve for x
    x = 392,395,292,460,900/12,905,196
  6. Step 6: Final answer
    x = 30,405,992.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.