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Finding the Third Proportional to 6,389,533,302,843 and 12,956,862,833,356

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Solution

The third proportional to 6,389,533,302,843 and 12,956,862,833,356 is: 26,274,265,509,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389,533,302,843 : 12,956,862,833,356 = 12,956,862,833,356 : x
  2. Step 2: Convert to fraction form
    6,389,533,302,843/12,956,862,833,356 = 12,956,862,833,356/x
  3. Step 3: Cross multiply
    6,389,533,302,843x = 12,956,862,833,356 × 12,956,862,833,356
  4. Step 4: Simplify right side
    6,389,533,302,843x = 167,880,294,482,402,087,194,853,376
  5. Step 5: Solve for x
    x = 167,880,294,482,402,087,194,853,376/6,389,533,302,843
  6. Step 6: Final answer
    x = 26,274,265,509,768.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.