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Finding the Third Proportional to 46,557,007 and 109,747,812.50

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Solution

The third proportional to 46,557,007 and 109,747,812.50 is: 258,706,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,557,007 : 109,747,812.50 = 109,747,812.50 : x
  2. Step 2: Convert to fraction form
    46,557,007/109,747,812.50 = 109,747,812.50/x
  3. Step 3: Cross multiply
    46,557,007x = 109,747,812.50 × 109,747,812.50
  4. Step 4: Simplify right side
    46,557,007x = 12,044,582,348,535,156
  5. Step 5: Solve for x
    x = 12,044,582,348,535,156/46,557,007
  6. Step 6: Final answer
    x = 258,706,113.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.