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Finding the Third Proportional to 1,000,528,482 and 2,173,292,274

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Solution

The third proportional to 1,000,528,482 and 2,173,292,274 is: 4,720,704,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,528,482 : 2,173,292,274 = 2,173,292,274 : x
  2. Step 2: Convert to fraction form
    1,000,528,482/2,173,292,274 = 2,173,292,274/x
  3. Step 3: Cross multiply
    1,000,528,482x = 2,173,292,274 × 2,173,292,274
  4. Step 4: Simplify right side
    1,000,528,482x = 4,723,199,308,228,090,880
  5. Step 5: Solve for x
    x = 4,723,199,308,228,090,880/1,000,528,482
  6. Step 6: Final answer
    x = 4,720,704,500.87

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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.