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Finding the Third Proportional to 202,446,569,100 and 435,360,650,736

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Solution

The third proportional to 202,446,569,100 and 435,360,650,736 is: 936,241,582,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446,569,100 : 435,360,650,736 = 435,360,650,736 : x
  2. Step 2: Convert to fraction form
    202,446,569,100/435,360,650,736 = 435,360,650,736/x
  3. Step 3: Cross multiply
    202,446,569,100x = 435,360,650,736 × 435,360,650,736
  4. Step 4: Simplify right side
    202,446,569,100x = 189,538,896,209,273,371,492,352
  5. Step 5: Solve for x
    x = 189,538,896,209,273,371,492,352/202,446,569,100
  6. Step 6: Final answer
    x = 936,241,582,417.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.