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Finding the Third Proportional to 3,066,447,557,871 and 6,622,502,196,060

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Solution

The third proportional to 3,066,447,557,871 and 6,622,502,196,060 is: 14,302,392,103,281.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,447,557,871 : 6,622,502,196,060 = 6,622,502,196,060 : x
  2. Step 2: Convert to fraction form
    3,066,447,557,871/6,622,502,196,060 = 6,622,502,196,060/x
  3. Step 3: Cross multiply
    3,066,447,557,871x = 6,622,502,196,060 × 6,622,502,196,060
  4. Step 4: Simplify right side
    3,066,447,557,871x = 43,857,535,336,819,525,274,304,512
  5. Step 5: Solve for x
    x = 43,857,535,336,819,525,274,304,512/3,066,447,557,871
  6. Step 6: Final answer
    x = 14,302,392,103,281.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.