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Finding the Third Proportional to 1,000,510,931.81 and 2,173,256,216.16

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Solution

The third proportional to 1,000,510,931.81 and 2,173,256,216.16 is: 4,720,630,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,510,931.81 : 2,173,256,216.16 = 2,173,256,216.16 : x
  2. Step 2: Convert to fraction form
    1,000,510,931.81/2,173,256,216.16 = 2,173,256,216.16/x
  3. Step 3: Cross multiply
    1,000,510,931.81x = 2,173,256,216.16 × 2,173,256,216.16
  4. Step 4: Simplify right side
    1,000,510,931.81x = 4,723,042,581,061,563,392
  5. Step 5: Solve for x
    x = 4,723,042,581,061,563,392/1,000,510,931.81
  6. Step 6: Final answer
    x = 4,720,630,660.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.