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Finding the Third Proportional to 618,279,600 and 1,333,411,573.50

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Solution

The third proportional to 618,279,600 and 1,333,411,573.50 is: 2,875,699,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,279,600 : 1,333,411,573.50 = 1,333,411,573.50 : x
  2. Step 2: Convert to fraction form
    618,279,600/1,333,411,573.50 = 1,333,411,573.50/x
  3. Step 3: Cross multiply
    618,279,600x = 1,333,411,573.50 × 1,333,411,573.50
  4. Step 4: Simplify right side
    618,279,600x = 1,777,986,424,343,745,792
  5. Step 5: Solve for x
    x = 1,777,986,424,343,745,792/618,279,600
  6. Step 6: Final answer
    x = 2,875,699,641.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.