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Finding the Third Proportional to 64,289,642 and 97,032,321

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Solution

The third proportional to 64,289,642 and 97,032,321 is: 146,450,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,289,642 : 97,032,321 = 97,032,321 : x
  2. Step 2: Convert to fraction form
    64,289,642/97,032,321 = 97,032,321/x
  3. Step 3: Cross multiply
    64,289,642x = 97,032,321 × 97,032,321
  4. Step 4: Simplify right side
    64,289,642x = 9,415,271,318,647,040
  5. Step 5: Solve for x
    x = 9,415,271,318,647,040/64,289,642
  6. Step 6: Final answer
    x = 146,450,828.25

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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.