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Finding the Third Proportional to 30,437,378 and 65,184,424

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Solution

The third proportional to 30,437,378 and 65,184,424 is: 139,598,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,437,378 : 65,184,424 = 65,184,424 : x
  2. Step 2: Convert to fraction form
    30,437,378/65,184,424 = 65,184,424/x
  3. Step 3: Cross multiply
    30,437,378x = 65,184,424 × 65,184,424
  4. Step 4: Simplify right side
    30,437,378x = 4,249,009,132,211,776
  5. Step 5: Solve for x
    x = 4,249,009,132,211,776/30,437,378
  6. Step 6: Final answer
    x = 139,598,395.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.