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Finding the Third Proportional to 1,000,528,560 and 2,173,292,442

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Solution

The third proportional to 1,000,528,560 and 2,173,292,442 is: 4,720,704,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,528,560 : 2,173,292,442 = 2,173,292,442 : x
  2. Step 2: Convert to fraction form
    1,000,528,560/2,173,292,442 = 2,173,292,442/x
  3. Step 3: Cross multiply
    1,000,528,560x = 2,173,292,442 × 2,173,292,442
  4. Step 4: Simplify right side
    1,000,528,560x = 4,723,200,038,454,323,200
  5. Step 5: Solve for x
    x = 4,723,200,038,454,323,200/1,000,528,560
  6. Step 6: Final answer
    x = 4,720,704,862.69

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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.