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Finding the Third Proportional to 29,571,780 and 64,718,196

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Solution

The third proportional to 29,571,780 and 64,718,196 is: 141,636,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571,780 : 64,718,196 = 64,718,196 : x
  2. Step 2: Convert to fraction form
    29,571,780/64,718,196 = 64,718,196/x
  3. Step 3: Cross multiply
    29,571,780x = 64,718,196 × 64,718,196
  4. Step 4: Simplify right side
    29,571,780x = 4,188,444,893,494,416
  5. Step 5: Solve for x
    x = 4,188,444,893,494,416/29,571,780
  6. Step 6: Final answer
    x = 141,636,549.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.