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Finding the Third Proportional to 29,947,848.75 and 64,435,090.50

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Solution

The third proportional to 29,947,848.75 and 64,435,090.50 is: 138,637,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947,848.75 : 64,435,090.50 = 64,435,090.50 : x
  2. Step 2: Convert to fraction form
    29,947,848.75/64,435,090.50 = 64,435,090.50/x
  3. Step 3: Cross multiply
    29,947,848.75x = 64,435,090.50 × 64,435,090.50
  4. Step 4: Simplify right side
    29,947,848.75x = 4,151,880,887,743,190
  5. Step 5: Solve for x
    x = 4,151,880,887,743,190/29,947,848.75
  6. Step 6: Final answer
    x = 138,637,032.74

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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.