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Finding the Third Proportional to 402,550,176 and 877,973,380

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Solution

The third proportional to 402,550,176 and 877,973,380 is: 1,914,884,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,550,176 : 877,973,380 = 877,973,380 : x
  2. Step 2: Convert to fraction form
    402,550,176/877,973,380 = 877,973,380/x
  3. Step 3: Cross multiply
    402,550,176x = 877,973,380 × 877,973,380
  4. Step 4: Simplify right side
    402,550,176x = 770,837,255,988,624,384
  5. Step 5: Solve for x
    x = 770,837,255,988,624,384/402,550,176
  6. Step 6: Final answer
    x = 1,914,884,906.15

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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.