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Finding the Third Proportional to 6,389,533,302,848 and 12,956,862,833,368

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Solution

The third proportional to 6,389,533,302,848 and 12,956,862,833,368 is: 26,274,265,509,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389,533,302,848 : 12,956,862,833,368 = 12,956,862,833,368 : x
  2. Step 2: Convert to fraction form
    6,389,533,302,848/12,956,862,833,368 = 12,956,862,833,368/x
  3. Step 3: Cross multiply
    6,389,533,302,848x = 12,956,862,833,368 × 12,956,862,833,368
  4. Step 4: Simplify right side
    6,389,533,302,848x = 167,880,294,482,713,042,827,083,776
  5. Step 5: Solve for x
    x = 167,880,294,482,713,042,827,083,776/6,389,533,302,848
  6. Step 6: Final answer
    x = 26,274,265,509,796.14

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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.