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Finding the Third Proportional to 309,737,140 and 674,096,768

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Solution

The third proportional to 309,737,140 and 674,096,768 is: 1,467,071,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,737,140 : 674,096,768 = 674,096,768 : x
  2. Step 2: Convert to fraction form
    309,737,140/674,096,768 = 674,096,768/x
  3. Step 3: Cross multiply
    309,737,140x = 674,096,768 × 674,096,768
  4. Step 4: Simplify right side
    309,737,140x = 454,406,452,628,045,824
  5. Step 5: Solve for x
    x = 454,406,452,628,045,824/309,737,140
  6. Step 6: Final answer
    x = 1,467,071,248.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.