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Finding the Third Proportional to 2,302,666,470 and 3,537,177,405

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Solution

The third proportional to 2,302,666,470 and 3,537,177,405 is: 5,433,537,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,666,470 : 3,537,177,405 = 3,537,177,405 : x
  2. Step 2: Convert to fraction form
    2,302,666,470/3,537,177,405 = 3,537,177,405/x
  3. Step 3: Cross multiply
    2,302,666,470x = 3,537,177,405 × 3,537,177,405
  4. Step 4: Simplify right side
    2,302,666,470x = 12,511,623,994,442,534,912
  5. Step 5: Solve for x
    x = 12,511,623,994,442,534,912/2,302,666,470
  6. Step 6: Final answer
    x = 5,433,537,230.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.