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Finding the Third Proportional to 471,842,325 and 707,763,577.50

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Solution

The third proportional to 471,842,325 and 707,763,577.50 is: 1,061,645,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,842,325 : 707,763,577.50 = 707,763,577.50 : x
  2. Step 2: Convert to fraction form
    471,842,325/707,763,577.50 = 707,763,577.50/x
  3. Step 3: Cross multiply
    471,842,325x = 707,763,577.50 × 707,763,577.50
  4. Step 4: Simplify right side
    471,842,325x = 500,929,281,635,598,528
  5. Step 5: Solve for x
    x = 500,929,281,635,598,528/471,842,325
  6. Step 6: Final answer
    x = 1,061,645,501.25

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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.