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Finding the Third Proportional to 1,000,528,485 and 2,173,292,280

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Solution

The third proportional to 1,000,528,485 and 2,173,292,280 is: 4,720,704,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,528,485 : 2,173,292,280 = 2,173,292,280 : x
  2. Step 2: Convert to fraction form
    1,000,528,485/2,173,292,280 = 2,173,292,280/x
  3. Step 3: Cross multiply
    1,000,528,485x = 2,173,292,280 × 2,173,292,280
  4. Step 4: Simplify right side
    1,000,528,485x = 4,723,199,334,307,598,336
  5. Step 5: Solve for x
    x = 4,723,199,334,307,598,336/1,000,528,485
  6. Step 6: Final answer
    x = 4,720,704,512.78

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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.