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Finding the Third Proportional to 74,507,738 and 162,866,480

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Solution

The third proportional to 74,507,738 and 162,866,480 is: 356,009,872.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,507,738 : 162,866,480 = 162,866,480 : x
  2. Step 2: Convert to fraction form
    74,507,738/162,866,480 = 162,866,480/x
  3. Step 3: Cross multiply
    74,507,738x = 162,866,480 × 162,866,480
  4. Step 4: Simplify right side
    74,507,738x = 26,525,490,307,590,400
  5. Step 5: Solve for x
    x = 26,525,490,307,590,400/74,507,738
  6. Step 6: Final answer
    x = 356,009,872.53

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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.