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Finding the Third Proportional to 918,792,006 and 1,412,249,193

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Solution

The third proportional to 918,792,006 and 1,412,249,193 is: 2,170,728,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,792,006 : 1,412,249,193 = 1,412,249,193 : x
  2. Step 2: Convert to fraction form
    918,792,006/1,412,249,193 = 1,412,249,193/x
  3. Step 3: Cross multiply
    918,792,006x = 1,412,249,193 × 1,412,249,193
  4. Step 4: Simplify right side
    918,792,006x = 1,994,447,783,129,151,232
  5. Step 5: Solve for x
    x = 1,994,447,783,129,151,232/918,792,006
  6. Step 6: Final answer
    x = 2,170,728,271.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.