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Finding the Third Proportional to 1,610,809,643 and 3,467,801,153

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Solution

The third proportional to 1,610,809,643 and 3,467,801,153 is: 7,465,590,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,809,643 : 3,467,801,153 = 3,467,801,153 : x
  2. Step 2: Convert to fraction form
    1,610,809,643/3,467,801,153 = 3,467,801,153/x
  3. Step 3: Cross multiply
    1,610,809,643x = 3,467,801,153 × 3,467,801,153
  4. Step 4: Simplify right side
    1,610,809,643x = 12,025,644,836,748,130,304
  5. Step 5: Solve for x
    x = 12,025,644,836,748,130,304/1,610,809,643
  6. Step 6: Final answer
    x = 7,465,590,294.30

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