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Finding the Third Proportional to 459,085,470 and 983,665,510

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Solution

The third proportional to 459,085,470 and 983,665,510 is: 2,107,663,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,085,470 : 983,665,510 = 983,665,510 : x
  2. Step 2: Convert to fraction form
    459,085,470/983,665,510 = 983,665,510/x
  3. Step 3: Cross multiply
    459,085,470x = 983,665,510 × 983,665,510
  4. Step 4: Simplify right side
    459,085,470x = 967,597,835,563,560,064
  5. Step 5: Solve for x
    x = 967,597,835,563,560,064/459,085,470
  6. Step 6: Final answer
    x = 2,107,663,820.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.