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Finding the Third Proportional to 45,388,235,982 and 99,326,620,692

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Solution

The third proportional to 45,388,235,982 and 99,326,620,692 is: 217,364,199,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388,235,982 : 99,326,620,692 = 99,326,620,692 : x
  2. Step 2: Convert to fraction form
    45,388,235,982/99,326,620,692 = 99,326,620,692/x
  3. Step 3: Cross multiply
    45,388,235,982x = 99,326,620,692 × 99,326,620,692
  4. Step 4: Simplify right side
    45,388,235,982x = 9,865,777,578,092,441,632,768
  5. Step 5: Solve for x
    x = 9,865,777,578,092,441,632,768/45,388,235,982
  6. Step 6: Final answer
    x = 217,364,199,437.16

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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.