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Finding the Third Proportional to 620,423,008 and 1,344,245,648

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Solution

The third proportional to 620,423,008 and 1,344,245,648 is: 2,912,523,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,423,008 : 1,344,245,648 = 1,344,245,648 : x
  2. Step 2: Convert to fraction form
    620,423,008/1,344,245,648 = 1,344,245,648/x
  3. Step 3: Cross multiply
    620,423,008x = 1,344,245,648 × 1,344,245,648
  4. Step 4: Simplify right side
    620,423,008x = 1,806,996,362,166,939,904
  5. Step 5: Solve for x
    x = 1,806,996,362,166,939,904/620,423,008
  6. Step 6: Final answer
    x = 2,912,523,131.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.