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Finding the Third Proportional to 333,856,614 and 713,658,690

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Solution

The third proportional to 333,856,614 and 713,658,690 is: 1,525,531,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,856,614 : 713,658,690 = 713,658,690 : x
  2. Step 2: Convert to fraction form
    333,856,614/713,658,690 = 713,658,690/x
  3. Step 3: Cross multiply
    333,856,614x = 713,658,690 × 713,658,690
  4. Step 4: Simplify right side
    333,856,614x = 509,308,725,812,516,096
  5. Step 5: Solve for x
    x = 509,308,725,812,516,096/333,856,614
  6. Step 6: Final answer
    x = 1,525,531,334.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.