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Finding the Third Proportional to 6,781,968 and 10,242,072

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Solution

The third proportional to 6,781,968 and 10,242,072 is: 15,467,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,968 : 10,242,072 = 10,242,072 : x
  2. Step 2: Convert to fraction form
    6,781,968/10,242,072 = 10,242,072/x
  3. Step 3: Cross multiply
    6,781,968x = 10,242,072 × 10,242,072
  4. Step 4: Simplify right side
    6,781,968x = 104,900,038,853,184
  5. Step 5: Solve for x
    x = 104,900,038,853,184/6,781,968
  6. Step 6: Final answer
    x = 15,467,492.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.