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Finding the Third Proportional to 714,775,903,524 and 1,531,523,973,612

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Solution

The third proportional to 714,775,903,524 and 1,531,523,973,612 is: 3,281,539,948,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,775,903,524 : 1,531,523,973,612 = 1,531,523,973,612 : x
  2. Step 2: Convert to fraction form
    714,775,903,524/1,531,523,973,612 = 1,531,523,973,612/x
  3. Step 3: Cross multiply
    714,775,903,524x = 1,531,523,973,612 × 1,531,523,973,612
  4. Step 4: Simplify right side
    714,775,903,524x = 2,345,565,681,748,289,949,532,160
  5. Step 5: Solve for x
    x = 2,345,565,681,748,289,949,532,160/714,775,903,524
  6. Step 6: Final answer
    x = 3,281,539,948,652.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.