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Finding the Third Proportional to 30,235,752 and 65,510,352

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Solution

The third proportional to 30,235,752 and 65,510,352 is: 141,938,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,235,752 : 65,510,352 = 65,510,352 : x
  2. Step 2: Convert to fraction form
    30,235,752/65,510,352 = 65,510,352/x
  3. Step 3: Cross multiply
    30,235,752x = 65,510,352 × 65,510,352
  4. Step 4: Simplify right side
    30,235,752x = 4,291,606,219,163,904
  5. Step 5: Solve for x
    x = 4,291,606,219,163,904/30,235,752
  6. Step 6: Final answer
    x = 141,938,134.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.