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Finding the Third Proportional to 29,545,738 and 45,385,871

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Solution

The third proportional to 29,545,738 and 45,385,871 is: 69,718,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,545,738 : 45,385,871 = 45,385,871 : x
  2. Step 2: Convert to fraction form
    29,545,738/45,385,871 = 45,385,871/x
  3. Step 3: Cross multiply
    29,545,738x = 45,385,871 × 45,385,871
  4. Step 4: Simplify right side
    29,545,738x = 2,059,877,286,428,641
  5. Step 5: Solve for x
    x = 2,059,877,286,428,641/29,545,738
  6. Step 6: Final answer
    x = 69,718,254.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.