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Finding the Third Proportional to 463,052,458,014 and 1,003,032,063,666

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Solution

The third proportional to 463,052,458,014 and 1,003,032,063,666 is: 2,172,698,369,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,052,458,014 : 1,003,032,063,666 = 1,003,032,063,666 : x
  2. Step 2: Convert to fraction form
    463,052,458,014/1,003,032,063,666 = 1,003,032,063,666/x
  3. Step 3: Cross multiply
    463,052,458,014x = 1,003,032,063,666 × 1,003,032,063,666
  4. Step 4: Simplify right side
    463,052,458,014x = 1,006,073,320,742,074,712,064,000
  5. Step 5: Solve for x
    x = 1,006,073,320,742,074,712,064,000/463,052,458,014
  6. Step 6: Final answer
    x = 2,172,698,369,979.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.