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Finding the Third Proportional to 462,451,491 and 676,313,212.50

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Solution

The third proportional to 462,451,491 and 676,313,212.50 is: 989,075,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,451,491 : 676,313,212.50 = 676,313,212.50 : x
  2. Step 2: Convert to fraction form
    462,451,491/676,313,212.50 = 676,313,212.50/x
  3. Step 3: Cross multiply
    462,451,491x = 676,313,212.50 × 676,313,212.50
  4. Step 4: Simplify right side
    462,451,491x = 457,399,561,402,070,144
  5. Step 5: Solve for x
    x = 457,399,561,402,070,144/462,451,491
  6. Step 6: Final answer
    x = 989,075,763.20

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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.