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Finding the Third Proportional to 11,886,316,145 and 25,908,376,492

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Solution

The third proportional to 11,886,316,145 and 25,908,376,492 is: 56,471,993,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886,316,145 : 25,908,376,492 = 25,908,376,492 : x
  2. Step 2: Convert to fraction form
    11,886,316,145/25,908,376,492 = 25,908,376,492/x
  3. Step 3: Cross multiply
    11,886,316,145x = 25,908,376,492 × 25,908,376,492
  4. Step 4: Simplify right side
    11,886,316,145x = 671,243,972,451,218,227,200
  5. Step 5: Solve for x
    x = 671,243,972,451,218,227,200/11,886,316,145
  6. Step 6: Final answer
    x = 56,471,993,867.80

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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.