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Finding the Third Proportional to 29,604,152,544 and 64,633,199,316

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Solution

The third proportional to 29,604,152,544 and 64,633,199,316 is: 141,110,286,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,604,152,544 : 64,633,199,316 = 64,633,199,316 : x
  2. Step 2: Convert to fraction form
    29,604,152,544/64,633,199,316 = 64,633,199,316/x
  3. Step 3: Cross multiply
    29,604,152,544x = 64,633,199,316 × 64,633,199,316
  4. Step 4: Simplify right side
    29,604,152,544x = 4,177,450,453,821,782,753,280
  5. Step 5: Solve for x
    x = 4,177,450,453,821,782,753,280/29,604,152,544
  6. Step 6: Final answer
    x = 141,110,286,727.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.