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Finding the Third Proportional to 546,035,307 and 772,623,220.50

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Solution

The third proportional to 546,035,307 and 772,623,220.50 is: 1,093,238,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,035,307 : 772,623,220.50 = 772,623,220.50 : x
  2. Step 2: Convert to fraction form
    546,035,307/772,623,220.50 = 772,623,220.50/x
  3. Step 3: Cross multiply
    546,035,307x = 772,623,220.50 × 772,623,220.50
  4. Step 4: Simplify right side
    546,035,307x = 596,946,640,855,791,616
  5. Step 5: Solve for x
    x = 596,946,640,855,791,616/546,035,307
  6. Step 6: Final answer
    x = 1,093,238,171.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.