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Finding the Third Proportional to 19,624,636,752 and 42,801,126,224

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Solution

The third proportional to 19,624,636,752 and 42,801,126,224 is: 93,348,805,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624,636,752 : 42,801,126,224 = 42,801,126,224 : x
  2. Step 2: Convert to fraction form
    19,624,636,752/42,801,126,224 = 42,801,126,224/x
  3. Step 3: Cross multiply
    19,624,636,752x = 42,801,126,224 × 42,801,126,224
  4. Step 4: Simplify right side
    19,624,636,752x = 1,831,936,406,042,780,368,896
  5. Step 5: Solve for x
    x = 1,831,936,406,042,780,368,896/19,624,636,752
  6. Step 6: Final answer
    x = 93,348,805,850.18

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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.