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Finding the Third Proportional to 1,645,974,912 and 2,507,550,516

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Solution

The third proportional to 1,645,974,912 and 2,507,550,516 is: 3,820,112,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,974,912 : 2,507,550,516 = 2,507,550,516 : x
  2. Step 2: Convert to fraction form
    1,645,974,912/2,507,550,516 = 2,507,550,516/x
  3. Step 3: Cross multiply
    1,645,974,912x = 2,507,550,516 × 2,507,550,516
  4. Step 4: Simplify right side
    1,645,974,912x = 6,287,809,590,291,866,624
  5. Step 5: Solve for x
    x = 6,287,809,590,291,866,624/1,645,974,912
  6. Step 6: Final answer
    x = 3,820,112,654.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.