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Finding the Third Proportional to 61,809,953,251.50 and 133,888,357,017

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Solution

The third proportional to 61,809,953,251.50 and 133,888,357,017 is: 290,019,506,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,809,953,251.50 : 133,888,357,017 = 133,888,357,017 : x
  2. Step 2: Convert to fraction form
    61,809,953,251.50/133,888,357,017 = 133,888,357,017/x
  3. Step 3: Cross multiply
    61,809,953,251.50x = 133,888,357,017 × 133,888,357,017
  4. Step 4: Simplify right side
    61,809,953,251.50x = 17,926,092,144,711,653,392,384
  5. Step 5: Solve for x
    x = 17,926,092,144,711,653,392,384/61,809,953,251.50
  6. Step 6: Final answer
    x = 290,019,506,595.84

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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.