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Finding the Third Proportional to 6,619,874,481 and 14,402,001,330

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Solution

The third proportional to 6,619,874,481 and 14,402,001,330 is: 31,332,564,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619,874,481 : 14,402,001,330 = 14,402,001,330 : x
  2. Step 2: Convert to fraction form
    6,619,874,481/14,402,001,330 = 14,402,001,330/x
  3. Step 3: Cross multiply
    6,619,874,481x = 14,402,001,330 × 14,402,001,330
  4. Step 4: Simplify right side
    6,619,874,481x = 207,417,642,309,321,752,576
  5. Step 5: Solve for x
    x = 207,417,642,309,321,752,576/6,619,874,481
  6. Step 6: Final answer
    x = 31,332,564,220.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.