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Finding the Third Proportional to 450,609,023,237.20 and 966,631,308,945.30

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Solution

The third proportional to 450,609,023,237.20 and 966,631,308,945.30 is: 2,073,584,946,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,609,023,237.20 : 966,631,308,945.30 = 966,631,308,945.30 : x
  2. Step 2: Convert to fraction form
    450,609,023,237.20/966,631,308,945.30 = 966,631,308,945.30/x
  3. Step 3: Cross multiply
    450,609,023,237.20x = 966,631,308,945.30 × 966,631,308,945.30
  4. Step 4: Simplify right side
    450,609,023,237.20x = 934,376,087,433,304,116,035,584
  5. Step 5: Solve for x
    x = 934,376,087,433,304,116,035,584/450,609,023,237.20
  6. Step 6: Final answer
    x = 2,073,584,946,703.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.