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Finding the Third Proportional to 1,219,656,295.50 and 1,645,602,696

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Solution

The third proportional to 1,219,656,295.50 and 1,645,602,696 is: 2,220,304,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,656,295.50 : 1,645,602,696 = 1,645,602,696 : x
  2. Step 2: Convert to fraction form
    1,219,656,295.50/1,645,602,696 = 1,645,602,696/x
  3. Step 3: Cross multiply
    1,219,656,295.50x = 1,645,602,696 × 1,645,602,696
  4. Step 4: Simplify right side
    1,219,656,295.50x = 2,708,008,233,082,468,352
  5. Step 5: Solve for x
    x = 2,708,008,233,082,468,352/1,219,656,295.50
  6. Step 6: Final answer
    x = 2,220,304,394.83

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.