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Finding the Third Proportional to 540,230,402 and 1,099,552,900

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Solution

The third proportional to 540,230,402 and 1,099,552,900 is: 2,237,964,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,230,402 : 1,099,552,900 = 1,099,552,900 : x
  2. Step 2: Convert to fraction form
    540,230,402/1,099,552,900 = 1,099,552,900/x
  3. Step 3: Cross multiply
    540,230,402x = 1,099,552,900 × 1,099,552,900
  4. Step 4: Simplify right side
    540,230,402x = 1,209,016,579,898,409,984
  5. Step 5: Solve for x
    x = 1,209,016,579,898,409,984/540,230,402
  6. Step 6: Final answer
    x = 2,237,964,719.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.