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Finding the Third Proportional to 114,971,681,826 and 251,617,210,650

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Solution

The third proportional to 114,971,681,826 and 251,617,210,650 is: 550,667,953,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,971,681,826 : 251,617,210,650 = 251,617,210,650 : x
  2. Step 2: Convert to fraction form
    114,971,681,826/251,617,210,650 = 251,617,210,650/x
  3. Step 3: Cross multiply
    114,971,681,826x = 251,617,210,650 × 251,617,210,650
  4. Step 4: Simplify right side
    114,971,681,826x = 63,311,220,695,286,469,885,952
  5. Step 5: Solve for x
    x = 63,311,220,695,286,469,885,952/114,971,681,826
  6. Step 6: Final answer
    x = 550,667,953,097.38

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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.