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Finding the Third Proportional to 54,828,507 and 120,417,381

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Solution

The third proportional to 54,828,507 and 120,417,381 is: 264,467,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,828,507 : 120,417,381 = 120,417,381 : x
  2. Step 2: Convert to fraction form
    54,828,507/120,417,381 = 120,417,381/x
  3. Step 3: Cross multiply
    54,828,507x = 120,417,381 × 120,417,381
  4. Step 4: Simplify right side
    54,828,507x = 14,500,345,646,899,160
  5. Step 5: Solve for x
    x = 14,500,345,646,899,160/54,828,507
  6. Step 6: Final answer
    x = 264,467,271.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.