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Finding the Third Proportional to 29,835,784.69 and 64,262,446.88

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Solution

The third proportional to 29,835,784.69 and 64,262,446.88 is: 138,413,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835,784.69 : 64,262,446.88 = 64,262,446.88 : x
  2. Step 2: Convert to fraction form
    29,835,784.69/64,262,446.88 = 64,262,446.88/x
  3. Step 3: Cross multiply
    29,835,784.69x = 64,262,446.88 × 64,262,446.88
  4. Step 4: Simplify right side
    29,835,784.69x = 4,129,662,078,362,197.50
  5. Step 5: Solve for x
    x = 4,129,662,078,362,197.50/29,835,784.69
  6. Step 6: Final answer
    x = 138,413,054.04

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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.