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Finding the Third Proportional to 816,426,281.81 and 1,260,738,044.72

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Solution

The third proportional to 816,426,281.81 and 1,260,738,044.72 is: 1,946,851,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,426,281.81 : 1,260,738,044.72 = 1,260,738,044.72 : x
  2. Step 2: Convert to fraction form
    816,426,281.81/1,260,738,044.72 = 1,260,738,044.72/x
  3. Step 3: Cross multiply
    816,426,281.81x = 1,260,738,044.72 × 1,260,738,044.72
  4. Step 4: Simplify right side
    816,426,281.81x = 1,589,460,417,401,383,168
  5. Step 5: Solve for x
    x = 1,589,460,417,401,383,168/816,426,281.81
  6. Step 6: Final answer
    x = 1,946,851,115.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.