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Finding the Third Proportional to 411,060,965.63 and 970,030,319.63

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Solution

The third proportional to 411,060,965.63 and 970,030,319.63 is: 2,289,097,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,060,965.63 : 970,030,319.63 = 970,030,319.63 : x
  2. Step 2: Convert to fraction form
    411,060,965.63/970,030,319.63 = 970,030,319.63/x
  3. Step 3: Cross multiply
    411,060,965.63x = 970,030,319.63 × 970,030,319.63
  4. Step 4: Simplify right side
    411,060,965.63x = 940,958,820,991,779,712
  5. Step 5: Solve for x
    x = 940,958,820,991,779,712/411,060,965.63
  6. Step 6: Final answer
    x = 2,289,097,967.65

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.