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Finding the Third Proportional to 714,775,903,526 and 1,531,523,973,616

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Solution

The third proportional to 714,775,903,526 and 1,531,523,973,616 is: 3,281,539,948,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,775,903,526 : 1,531,523,973,616 = 1,531,523,973,616 : x
  2. Step 2: Convert to fraction form
    714,775,903,526/1,531,523,973,616 = 1,531,523,973,616/x
  3. Step 3: Cross multiply
    714,775,903,526x = 1,531,523,973,616 × 1,531,523,973,616
  4. Step 4: Simplify right side
    714,775,903,526x = 2,345,565,681,760,542,149,050,368
  5. Step 5: Solve for x
    x = 2,345,565,681,760,542,149,050,368/714,775,903,526
  6. Step 6: Final answer
    x = 3,281,539,948,660.60

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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.