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Finding the Third Proportional to 55,742,501 and 120,027,424

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Solution

The third proportional to 55,742,501 and 120,027,424 is: 258,448,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742,501 : 120,027,424 = 120,027,424 : x
  2. Step 2: Convert to fraction form
    55,742,501/120,027,424 = 120,027,424/x
  3. Step 3: Cross multiply
    55,742,501x = 120,027,424 × 120,027,424
  4. Step 4: Simplify right side
    55,742,501x = 14,406,582,512,075,776
  5. Step 5: Solve for x
    x = 14,406,582,512,075,776/55,742,501
  6. Step 6: Final answer
    x = 258,448,800.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.