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Finding the Third Proportional to 1,105,742,808 and 2,419,758,000

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Solution

The third proportional to 1,105,742,808 and 2,419,758,000 is: 5,295,289,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,742,808 : 2,419,758,000 = 2,419,758,000 : x
  2. Step 2: Convert to fraction form
    1,105,742,808/2,419,758,000 = 2,419,758,000/x
  3. Step 3: Cross multiply
    1,105,742,808x = 2,419,758,000 × 2,419,758,000
  4. Step 4: Simplify right side
    1,105,742,808x = 5,855,228,778,563,999,744
  5. Step 5: Solve for x
    x = 5,855,228,778,563,999,744/1,105,742,808
  6. Step 6: Final answer
    x = 5,295,289,950.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.