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Finding the Third Proportional to 64,284,842 and 97,006,899

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Solution

The third proportional to 64,284,842 and 97,006,899 is: 146,385,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284,842 : 97,006,899 = 97,006,899 : x
  2. Step 2: Convert to fraction form
    64,284,842/97,006,899 = 97,006,899/x
  3. Step 3: Cross multiply
    64,284,842x = 97,006,899 × 97,006,899
  4. Step 4: Simplify right side
    64,284,842x = 9,410,338,453,596,200
  5. Step 5: Solve for x
    x = 9,410,338,453,596,200/64,284,842
  6. Step 6: Final answer
    x = 146,385,028.89

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Why These Related Problems?

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