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Finding the Third Proportional to 251,659,681,610 and 552,041,973,604

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Solution

The third proportional to 251,659,681,610 and 552,041,973,604 is: 1,210,962,116,263.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,659,681,610 : 552,041,973,604 = 552,041,973,604 : x
  2. Step 2: Convert to fraction form
    251,659,681,610/552,041,973,604 = 552,041,973,604/x
  3. Step 3: Cross multiply
    251,659,681,610x = 552,041,973,604 × 552,041,973,604
  4. Step 4: Simplify right side
    251,659,681,610x = 304,750,340,620,599,410,294,784
  5. Step 5: Solve for x
    x = 304,750,340,620,599,410,294,784/251,659,681,610
  6. Step 6: Final answer
    x = 1,210,962,116,263.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.