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Finding the Third Proportional to 19,764,868,299 and 30,110,409,685

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Solution

The third proportional to 19,764,868,299 and 30,110,409,685 is: 45,871,126,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764,868,299 : 30,110,409,685 = 30,110,409,685 : x
  2. Step 2: Convert to fraction form
    19,764,868,299/30,110,409,685 = 30,110,409,685/x
  3. Step 3: Cross multiply
    19,764,868,299x = 30,110,409,685 × 30,110,409,685
  4. Step 4: Simplify right side
    19,764,868,299x = 906,636,771,398,541,770,752
  5. Step 5: Solve for x
    x = 906,636,771,398,541,770,752/19,764,868,299
  6. Step 6: Final answer
    x = 45,871,126,368.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.