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Finding the Third Proportional to 29,677,200 and 64,430,364

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Solution

The third proportional to 29,677,200 and 64,430,364 is: 139,880,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677,200 : 64,430,364 = 64,430,364 : x
  2. Step 2: Convert to fraction form
    29,677,200/64,430,364 = 64,430,364/x
  3. Step 3: Cross multiply
    29,677,200x = 64,430,364 × 64,430,364
  4. Step 4: Simplify right side
    29,677,200x = 4,151,271,805,172,496
  5. Step 5: Solve for x
    x = 4,151,271,805,172,496/29,677,200
  6. Step 6: Final answer
    x = 139,880,844.73

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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.