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Finding the Third Proportional to 29,965,461 and 64,478,787

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Solution

The third proportional to 29,965,461 and 64,478,787 is: 138,743,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965,461 : 64,478,787 = 64,478,787 : x
  2. Step 2: Convert to fraction form
    29,965,461/64,478,787 = 64,478,787/x
  3. Step 3: Cross multiply
    29,965,461x = 64,478,787 × 64,478,787
  4. Step 4: Simplify right side
    29,965,461x = 4,157,513,972,991,369
  5. Step 5: Solve for x
    x = 4,157,513,972,991,369/29,965,461
  6. Step 6: Final answer
    x = 138,743,534.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.