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Finding the Third Proportional to 114,971,681,827 and 251,617,210,652

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Solution

The third proportional to 114,971,681,827 and 251,617,210,652 is: 550,667,953,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,971,681,827 : 251,617,210,652 = 251,617,210,652 : x
  2. Step 2: Convert to fraction form
    114,971,681,827/251,617,210,652 = 251,617,210,652/x
  3. Step 3: Cross multiply
    114,971,681,827x = 251,617,210,652 × 251,617,210,652
  4. Step 4: Simplify right side
    114,971,681,827x = 63,311,220,696,292,943,462,400
  5. Step 5: Solve for x
    x = 63,311,220,696,292,943,462,400/114,971,681,827
  6. Step 6: Final answer
    x = 550,667,953,101.34

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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.