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Finding the Third Proportional to 314,561,553 and 471,842,389.50

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Solution

The third proportional to 314,561,553 and 471,842,389.50 is: 707,763,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,561,553 : 471,842,389.50 = 471,842,389.50 : x
  2. Step 2: Convert to fraction form
    314,561,553/471,842,389.50 = 471,842,389.50/x
  3. Step 3: Cross multiply
    314,561,553x = 471,842,389.50 × 471,842,389.50
  4. Step 4: Simplify right side
    314,561,553x = 222,635,240,529,069,696
  5. Step 5: Solve for x
    x = 222,635,240,529,069,696/314,561,553
  6. Step 6: Final answer
    x = 707,763,674.25

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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.