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Finding the Third Proportional to 471,841,566 and 707,762,409.75

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Solution

The third proportional to 471,841,566 and 707,762,409.75 is: 1,061,643,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,841,566 : 707,762,409.75 = 707,762,409.75 : x
  2. Step 2: Convert to fraction form
    471,841,566/707,762,409.75 = 707,762,409.75/x
  3. Step 3: Cross multiply
    471,841,566x = 707,762,409.75 × 707,762,409.75
  4. Step 4: Simplify right side
    471,841,566x = 500,927,628,655,126,912
  5. Step 5: Solve for x
    x = 500,927,628,655,126,912/471,841,566
  6. Step 6: Final answer
    x = 1,061,643,705.75

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