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Finding the Third Proportional to 29,057,757,770 and 45,116,521,159

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Solution

The third proportional to 29,057,757,770 and 45,116,521,159 is: 70,050,156,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,057,757,770 : 45,116,521,159 = 45,116,521,159 : x
  2. Step 2: Convert to fraction form
    29,057,757,770/45,116,521,159 = 45,116,521,159/x
  3. Step 3: Cross multiply
    29,057,757,770x = 45,116,521,159 × 45,116,521,159
  4. Step 4: Simplify right side
    29,057,757,770x = 2,035,500,481,490,494,685,184
  5. Step 5: Solve for x
    x = 2,035,500,481,490,494,685,184/29,057,757,770
  6. Step 6: Final answer
    x = 70,050,156,574.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.