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Finding the Third Proportional to 51,426,966 and 109,828,488

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Solution

The third proportional to 51,426,966 and 109,828,488 is: 234,551,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,426,966 : 109,828,488 = 109,828,488 : x
  2. Step 2: Convert to fraction form
    51,426,966/109,828,488 = 109,828,488/x
  3. Step 3: Cross multiply
    51,426,966x = 109,828,488 × 109,828,488
  4. Step 4: Simplify right side
    51,426,966x = 12,062,296,776,366,144
  5. Step 5: Solve for x
    x = 12,062,296,776,366,144/51,426,966
  6. Step 6: Final answer
    x = 234,551,981.47

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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.