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Finding the Third Proportional to 314,561,043 and 471,841,605

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Solution

The third proportional to 314,561,043 and 471,841,605 is: 707,762,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,561,043 : 471,841,605 = 471,841,605 : x
  2. Step 2: Convert to fraction form
    314,561,043/471,841,605 = 471,841,605/x
  3. Step 3: Cross multiply
    314,561,043x = 471,841,605 × 471,841,605
  4. Step 4: Simplify right side
    314,561,043x = 222,634,500,208,976,032
  5. Step 5: Solve for x
    x = 222,634,500,208,976,032/314,561,043
  6. Step 6: Final answer
    x = 707,762,468.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.