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Finding the Third Proportional to 670,163,025 and 1,460,993,098.50

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Solution

The third proportional to 670,163,025 and 1,460,993,098.50 is: 3,185,047,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,163,025 : 1,460,993,098.50 = 1,460,993,098.50 : x
  2. Step 2: Convert to fraction form
    670,163,025/1,460,993,098.50 = 1,460,993,098.50/x
  3. Step 3: Cross multiply
    670,163,025x = 1,460,993,098.50 × 1,460,993,098.50
  4. Step 4: Simplify right side
    670,163,025x = 2,134,500,833,864,630,784
  5. Step 5: Solve for x
    x = 2,134,500,833,864,630,784/670,163,025
  6. Step 6: Final answer
    x = 3,185,047,151.57

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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.