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Finding the Third Proportional to 307,177,083 and 676,966,639

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Solution

The third proportional to 307,177,083 and 676,966,639 is: 1,491,920,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,177,083 : 676,966,639 = 676,966,639 : x
  2. Step 2: Convert to fraction form
    307,177,083/676,966,639 = 676,966,639/x
  3. Step 3: Cross multiply
    307,177,083x = 676,966,639 × 676,966,639
  4. Step 4: Simplify right side
    307,177,083x = 458,283,830,318,956,352
  5. Step 5: Solve for x
    x = 458,283,830,318,956,352/307,177,083
  6. Step 6: Final answer
    x = 1,491,920,640.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.