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Finding the Third Proportional to 67,302,004,013 and 145,349,842,437

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Solution

The third proportional to 67,302,004,013 and 145,349,842,437 is: 313,907,096,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,302,004,013 : 145,349,842,437 = 145,349,842,437 : x
  2. Step 2: Convert to fraction form
    67,302,004,013/145,349,842,437 = 145,349,842,437/x
  3. Step 3: Cross multiply
    67,302,004,013x = 145,349,842,437 × 145,349,842,437
  4. Step 4: Simplify right side
    67,302,004,013x = 21,126,576,696,460,727,812,096
  5. Step 5: Solve for x
    x = 21,126,576,696,460,727,812,096/67,302,004,013
  6. Step 6: Final answer
    x = 313,907,096,917.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.