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Finding the Third Proportional to 1,673,517,823.50 and 3,648,363,018

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Solution

The third proportional to 1,673,517,823.50 and 3,648,363,018 is: 7,953,636,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673,517,823.50 : 3,648,363,018 = 3,648,363,018 : x
  2. Step 2: Convert to fraction form
    1,673,517,823.50/3,648,363,018 = 3,648,363,018/x
  3. Step 3: Cross multiply
    1,673,517,823.50x = 3,648,363,018 × 3,648,363,018
  4. Step 4: Simplify right side
    1,673,517,823.50x = 13,310,552,711,110,068,224
  5. Step 5: Solve for x
    x = 13,310,552,711,110,068,224/1,673,517,823.50
  6. Step 6: Final answer
    x = 7,953,636,659.38

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