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Finding the Third Proportional to 6,249,563,424 and 9,520,858,935

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Solution

The third proportional to 6,249,563,424 and 9,520,858,935 is: 14,504,493,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249,563,424 : 9,520,858,935 = 9,520,858,935 : x
  2. Step 2: Convert to fraction form
    6,249,563,424/9,520,858,935 = 9,520,858,935/x
  3. Step 3: Cross multiply
    6,249,563,424x = 9,520,858,935 × 9,520,858,935
  4. Step 4: Simplify right side
    6,249,563,424x = 90,646,754,860,169,330,688
  5. Step 5: Solve for x
    x = 90,646,754,860,169,330,688/6,249,563,424
  6. Step 6: Final answer
    x = 14,504,493,947.86

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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.