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Finding the Third Proportional to 61,809,953,670 and 133,888,357,854

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Solution

The third proportional to 61,809,953,670 and 133,888,357,854 is: 290,019,508,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,809,953,670 : 133,888,357,854 = 133,888,357,854 : x
  2. Step 2: Convert to fraction form
    61,809,953,670/133,888,357,854 = 133,888,357,854/x
  3. Step 3: Cross multiply
    61,809,953,670x = 133,888,357,854 × 133,888,357,854
  4. Step 4: Simplify right side
    61,809,953,670x = 17,926,092,368,840,763,637,760
  5. Step 5: Solve for x
    x = 17,926,092,368,840,763,637,760/61,809,953,670
  6. Step 6: Final answer
    x = 290,019,508,258.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.