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Finding the Third Proportional to 943,114,709,013 and 2,051,472,866,802

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Solution

The third proportional to 943,114,709,013 and 2,051,472,866,802 is: 4,462,384,991,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,114,709,013 : 2,051,472,866,802 = 2,051,472,866,802 : x
  2. Step 2: Convert to fraction form
    943,114,709,013/2,051,472,866,802 = 2,051,472,866,802/x
  3. Step 3: Cross multiply
    943,114,709,013x = 2,051,472,866,802 × 2,051,472,866,802
  4. Step 4: Simplify right side
    943,114,709,013x = 4,208,540,923,224,816,495,886,336
  5. Step 5: Solve for x
    x = 4,208,540,923,224,816,495,886,336/943,114,709,013
  6. Step 6: Final answer
    x = 4,462,384,991,990.20

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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.