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Finding the Third Proportional to 29,790,213 and 64,283,122

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Solution

The third proportional to 29,790,213 and 64,283,122 is: 138,714,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,790,213 : 64,283,122 = 64,283,122 : x
  2. Step 2: Convert to fraction form
    29,790,213/64,283,122 = 64,283,122/x
  3. Step 3: Cross multiply
    29,790,213x = 64,283,122 × 64,283,122
  4. Step 4: Simplify right side
    29,790,213x = 4,132,319,774,066,884
  5. Step 5: Solve for x
    x = 4,132,319,774,066,884/29,790,213
  6. Step 6: Final answer
    x = 138,714,005.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.