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Finding the Third Proportional to 545,850,810.75 and 780,572,664.94

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Solution

The third proportional to 545,850,810.75 and 780,572,664.94 is: 1,116,227,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,850,810.75 : 780,572,664.94 = 780,572,664.94 : x
  2. Step 2: Convert to fraction form
    545,850,810.75/780,572,664.94 = 780,572,664.94/x
  3. Step 3: Cross multiply
    545,850,810.75x = 780,572,664.94 × 780,572,664.94
  4. Step 4: Simplify right side
    545,850,810.75x = 609,293,685,247,630,592
  5. Step 5: Solve for x
    x = 609,293,685,247,630,592/545,850,810.75
  6. Step 6: Final answer
    x = 1,116,227,498.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.