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Finding the Third Proportional to 74,507,724 and 162,866,454

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Solution

The third proportional to 74,507,724 and 162,866,454 is: 356,009,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,507,724 : 162,866,454 = 162,866,454 : x
  2. Step 2: Convert to fraction form
    74,507,724/162,866,454 = 162,866,454/x
  3. Step 3: Cross multiply
    74,507,724x = 162,866,454 × 162,866,454
  4. Step 4: Simplify right side
    74,507,724x = 26,525,481,838,534,116
  5. Step 5: Solve for x
    x = 26,525,481,838,534,116/74,507,724
  6. Step 6: Final answer
    x = 356,009,825.75

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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.