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Finding the Third Proportional to 221,089,790 and 473,237,441

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Solution

The third proportional to 221,089,790 and 473,237,441 is: 1,012,953,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089,790 : 473,237,441 = 473,237,441 : x
  2. Step 2: Convert to fraction form
    221,089,790/473,237,441 = 473,237,441/x
  3. Step 3: Cross multiply
    221,089,790x = 473,237,441 × 473,237,441
  4. Step 4: Simplify right side
    221,089,790x = 223,953,675,564,228,480
  5. Step 5: Solve for x
    x = 223,953,675,564,228,480/221,089,790
  6. Step 6: Final answer
    x = 1,012,953,495.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.