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Finding the Third Proportional to 6,119,748 and 8,280,963

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Solution

The third proportional to 6,119,748 and 8,280,963 is: 11,205,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119,748 : 8,280,963 = 8,280,963 : x
  2. Step 2: Convert to fraction form
    6,119,748/8,280,963 = 8,280,963/x
  3. Step 3: Cross multiply
    6,119,748x = 8,280,963 × 8,280,963
  4. Step 4: Simplify right side
    6,119,748x = 68,574,348,207,369
  5. Step 5: Solve for x
    x = 68,574,348,207,369/6,119,748
  6. Step 6: Final answer
    x = 11,205,420.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.