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Finding the Third Proportional to 462,451,572 and 676,313,334

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Solution

The third proportional to 462,451,572 and 676,313,334 is: 989,075,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,451,572 : 676,313,334 = 676,313,334 : x
  2. Step 2: Convert to fraction form
    462,451,572/676,313,334 = 676,313,334/x
  3. Step 3: Cross multiply
    462,451,572x = 676,313,334 × 676,313,334
  4. Step 4: Simplify right side
    462,451,572x = 457,399,725,746,195,584
  5. Step 5: Solve for x
    x = 457,399,725,746,195,584/462,451,572
  6. Step 6: Final answer
    x = 989,075,945.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.