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Finding the Third Proportional to 7,280,663 and 15,832,095

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Solution

The third proportional to 7,280,663 and 15,832,095 is: 34,427,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280,663 : 15,832,095 = 15,832,095 : x
  2. Step 2: Convert to fraction form
    7,280,663/15,832,095 = 15,832,095/x
  3. Step 3: Cross multiply
    7,280,663x = 15,832,095 × 15,832,095
  4. Step 4: Simplify right side
    7,280,663x = 250,655,232,089,025
  5. Step 5: Solve for x
    x = 250,655,232,089,025/7,280,663
  6. Step 6: Final answer
    x = 34,427,528.38

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Why These Related Problems?

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