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Finding the Third Proportional to 4,361,030,374 and 9,511,361,352

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Solution

The third proportional to 4,361,030,374 and 9,511,361,352 is: 20,744,179,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361,030,374 : 9,511,361,352 = 9,511,361,352 : x
  2. Step 2: Convert to fraction form
    4,361,030,374/9,511,361,352 = 9,511,361,352/x
  3. Step 3: Cross multiply
    4,361,030,374x = 9,511,361,352 × 9,511,361,352
  4. Step 4: Simplify right side
    4,361,030,374x = 90,465,994,768,319,266,816
  5. Step 5: Solve for x
    x = 90,465,994,768,319,266,816/4,361,030,374
  6. Step 6: Final answer
    x = 20,744,179,015.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.