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Finding the Third Proportional to 29,938,280 and 63,006,256

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Solution

The third proportional to 29,938,280 and 63,006,256 is: 132,599,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938,280 : 63,006,256 = 63,006,256 : x
  2. Step 2: Convert to fraction form
    29,938,280/63,006,256 = 63,006,256/x
  3. Step 3: Cross multiply
    29,938,280x = 63,006,256 × 63,006,256
  4. Step 4: Simplify right side
    29,938,280x = 3,969,788,295,137,536
  5. Step 5: Solve for x
    x = 3,969,788,295,137,536/29,938,280
  6. Step 6: Final answer
    x = 132,599,077.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.