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Finding the Third Proportional to 64,966,283 and 144,458,002

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Solution

The third proportional to 64,966,283 and 144,458,002 is: 321,214,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966,283 : 144,458,002 = 144,458,002 : x
  2. Step 2: Convert to fraction form
    64,966,283/144,458,002 = 144,458,002/x
  3. Step 3: Cross multiply
    64,966,283x = 144,458,002 × 144,458,002
  4. Step 4: Simplify right side
    64,966,283x = 20,868,114,341,832,004
  5. Step 5: Solve for x
    x = 20,868,114,341,832,004/64,966,283
  6. Step 6: Final answer
    x = 321,214,534.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.