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Finding the Third Proportional to 45,388,235,951 and 99,326,620,633

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Solution

The third proportional to 45,388,235,951 and 99,326,620,633 is: 217,364,199,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388,235,951 : 99,326,620,633 = 99,326,620,633 : x
  2. Step 2: Convert to fraction form
    45,388,235,951/99,326,620,633 = 99,326,620,633/x
  3. Step 3: Cross multiply
    45,388,235,951x = 99,326,620,633 × 99,326,620,633
  4. Step 4: Simplify right side
    45,388,235,951x = 9,865,777,566,371,901,603,840
  5. Step 5: Solve for x
    x = 9,865,777,566,371,901,603,840/45,388,235,951
  6. Step 6: Final answer
    x = 217,364,199,327.39

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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.