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Finding the Third Proportional to 4,784,908,085,082 and 10,295,535,840,021

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Solution

The third proportional to 4,784,908,085,082 and 10,295,535,840,021 is: 22,152,579,808,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784,908,085,082 : 10,295,535,840,021 = 10,295,535,840,021 : x
  2. Step 2: Convert to fraction form
    4,784,908,085,082/10,295,535,840,021 = 10,295,535,840,021/x
  3. Step 3: Cross multiply
    4,784,908,085,082x = 10,295,535,840,021 × 10,295,535,840,021
  4. Step 4: Simplify right side
    4,784,908,085,082x = 105,998,058,233,156,917,400,698,880
  5. Step 5: Solve for x
    x = 105,998,058,233,156,917,400,698,880/4,784,908,085,082
  6. Step 6: Final answer
    x = 22,152,579,808,926.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.