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Finding the Third Proportional to 36,963,648 and 57,461,319

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Solution

The third proportional to 36,963,648 and 57,461,319 is: 89,325,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963,648 : 57,461,319 = 57,461,319 : x
  2. Step 2: Convert to fraction form
    36,963,648/57,461,319 = 57,461,319/x
  3. Step 3: Cross multiply
    36,963,648x = 57,461,319 × 57,461,319
  4. Step 4: Simplify right side
    36,963,648x = 3,301,803,181,219,761
  5. Step 5: Solve for x
    x = 3,301,803,181,219,761/36,963,648
  6. Step 6: Final answer
    x = 89,325,685.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.