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Finding the Third Proportional to 285,610,869.89 and 621,926,076.82

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Solution

The third proportional to 285,610,869.89 and 621,926,076.82 is: 1,354,262,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,610,869.89 : 621,926,076.82 = 621,926,076.82 : x
  2. Step 2: Convert to fraction form
    285,610,869.89/621,926,076.82 = 621,926,076.82/x
  3. Step 3: Cross multiply
    285,610,869.89x = 621,926,076.82 × 621,926,076.82
  4. Step 4: Simplify right side
    285,610,869.89x = 386,792,045,032,759,104
  5. Step 5: Solve for x
    x = 386,792,045,032,759,104/285,610,869.89
  6. Step 6: Final answer
    x = 1,354,262,340.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.