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Finding the Third Proportional to 309,139,243 and 666,704,680

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Solution

The third proportional to 309,139,243 and 666,704,680 is: 1,437,847,637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,243 : 666,704,680 = 666,704,680 : x
  2. Step 2: Convert to fraction form
    309,139,243/666,704,680 = 666,704,680/x
  3. Step 3: Cross multiply
    309,139,243x = 666,704,680 × 666,704,680
  4. Step 4: Simplify right side
    309,139,243x = 444,495,130,333,902,400
  5. Step 5: Solve for x
    x = 444,495,130,333,902,400/309,139,243
  6. Step 6: Final answer
    x = 1,437,847,637.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.