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Finding the Third Proportional to 74,627,020 and 161,477,911

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Solution

The third proportional to 74,627,020 and 161,477,911 is: 349,405,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,627,020 : 161,477,911 = 161,477,911 : x
  2. Step 2: Convert to fraction form
    74,627,020/161,477,911 = 161,477,911/x
  3. Step 3: Cross multiply
    74,627,020x = 161,477,911 × 161,477,911
  4. Step 4: Simplify right side
    74,627,020x = 26,075,115,740,923,920
  5. Step 5: Solve for x
    x = 26,075,115,740,923,920/74,627,020
  6. Step 6: Final answer
    x = 349,405,828.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.