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Finding the Third Proportional to 1,000,528,568 and 2,173,292,458

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Solution

The third proportional to 1,000,528,568 and 2,173,292,458 is: 4,720,704,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,528,568 : 2,173,292,458 = 2,173,292,458 : x
  2. Step 2: Convert to fraction form
    1,000,528,568/2,173,292,458 = 2,173,292,458/x
  3. Step 3: Cross multiply
    1,000,528,568x = 2,173,292,458 × 2,173,292,458
  4. Step 4: Simplify right side
    1,000,528,568x = 4,723,200,107,999,681,536
  5. Step 5: Solve for x
    x = 4,723,200,107,999,681,536/1,000,528,568
  6. Step 6: Final answer
    x = 4,720,704,894.46

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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.