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Finding the Third Proportional to 1,759,369,454 and 2,581,539,945

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Solution

The third proportional to 1,759,369,454 and 2,581,539,945 is: 3,787,918,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759,369,454 : 2,581,539,945 = 2,581,539,945 : x
  2. Step 2: Convert to fraction form
    1,759,369,454/2,581,539,945 = 2,581,539,945/x
  3. Step 3: Cross multiply
    1,759,369,454x = 2,581,539,945 × 2,581,539,945
  4. Step 4: Simplify right side
    1,759,369,454x = 6,664,348,487,630,603,264
  5. Step 5: Solve for x
    x = 6,664,348,487,630,603,264/1,759,369,454
  6. Step 6: Final answer
    x = 3,787,918,718.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.