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Finding the Third Proportional to 221,089,824 and 473,237,509

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Solution

The third proportional to 221,089,824 and 473,237,509 is: 1,012,953,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,089,824 : 473,237,509 = 473,237,509 : x
  2. Step 2: Convert to fraction form
    221,089,824/473,237,509 = 473,237,509/x
  3. Step 3: Cross multiply
    221,089,824x = 473,237,509 × 473,237,509
  4. Step 4: Simplify right side
    221,089,824x = 223,953,739,924,525,088
  5. Step 5: Solve for x
    x = 223,953,739,924,525,088/221,089,824
  6. Step 6: Final answer
    x = 1,012,953,630.67

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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.