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Finding the Third Proportional to 509,477,848 and 1,111,185,580

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Solution

The third proportional to 509,477,848 and 1,111,185,580 is: 2,423,527,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,477,848 : 1,111,185,580 = 1,111,185,580 : x
  2. Step 2: Convert to fraction form
    509,477,848/1,111,185,580 = 1,111,185,580/x
  3. Step 3: Cross multiply
    509,477,848x = 1,111,185,580 × 1,111,185,580
  4. Step 4: Simplify right side
    509,477,848x = 1,234,733,393,199,936,512
  5. Step 5: Solve for x
    x = 1,234,733,393,199,936,512/509,477,848
  6. Step 6: Final answer
    x = 2,423,527,142.64

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