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Finding the Third Proportional to 1,227,421,089 and 2,692,477,224

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Solution

The third proportional to 1,227,421,089 and 2,692,477,224 is: 5,906,231,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,421,089 : 2,692,477,224 = 2,692,477,224 : x
  2. Step 2: Convert to fraction form
    1,227,421,089/2,692,477,224 = 2,692,477,224/x
  3. Step 3: Cross multiply
    1,227,421,089x = 2,692,477,224 × 2,692,477,224
  4. Step 4: Simplify right side
    1,227,421,089x = 7,249,433,601,758,746,624
  5. Step 5: Solve for x
    x = 7,249,433,601,758,746,624/1,227,421,089
  6. Step 6: Final answer
    x = 5,906,231,909.10

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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.