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Finding the Third Proportional to 1,325,819,475 and 1,843,446,465

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Solution

The third proportional to 1,325,819,475 and 1,843,446,465 is: 2,563,165,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,819,475 : 1,843,446,465 = 1,843,446,465 : x
  2. Step 2: Convert to fraction form
    1,325,819,475/1,843,446,465 = 1,843,446,465/x
  3. Step 3: Cross multiply
    1,325,819,475x = 1,843,446,465 × 1,843,446,465
  4. Step 4: Simplify right side
    1,325,819,475x = 3,398,294,869,320,996,352
  5. Step 5: Solve for x
    x = 3,398,294,869,320,996,352/1,325,819,475
  6. Step 6: Final answer
    x = 2,563,165,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.