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Finding the Third Proportional to 321,668,451.70 and 702,327,264.47

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Solution

The third proportional to 321,668,451.70 and 702,327,264.47 is: 1,533,453,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,668,451.70 : 702,327,264.47 = 702,327,264.47 : x
  2. Step 2: Convert to fraction form
    321,668,451.70/702,327,264.47 = 702,327,264.47/x
  3. Step 3: Cross multiply
    321,668,451.70x = 702,327,264.47 × 702,327,264.47
  4. Step 4: Simplify right side
    321,668,451.70x = 493,263,586,416,157,504
  5. Step 5: Solve for x
    x = 493,263,586,416,157,504/321,668,451.70
  6. Step 6: Final answer
    x = 1,533,453,417.03

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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.