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Finding the Third Proportional to 64,289,640 and 97,032,318

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Solution

The third proportional to 64,289,640 and 97,032,318 is: 146,450,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,289,640 : 97,032,318 = 97,032,318 : x
  2. Step 2: Convert to fraction form
    64,289,640/97,032,318 = 97,032,318/x
  3. Step 3: Cross multiply
    64,289,640x = 97,032,318 × 97,032,318
  4. Step 4: Simplify right side
    64,289,640x = 9,415,270,736,453,124
  5. Step 5: Solve for x
    x = 9,415,270,736,453,124/64,289,640
  6. Step 6: Final answer
    x = 146,450,823.75

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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.