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Finding the Third Proportional to 333,856,587 and 713,658,639

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Solution

The third proportional to 333,856,587 and 713,658,639 is: 1,525,531,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,856,587 : 713,658,639 = 713,658,639 : x
  2. Step 2: Convert to fraction form
    333,856,587/713,658,639 = 713,658,639/x
  3. Step 3: Cross multiply
    333,856,587x = 713,658,639 × 713,658,639
  4. Step 4: Simplify right side
    333,856,587x = 509,308,653,019,332,352
  5. Step 5: Solve for x
    x = 509,308,653,019,332,352/333,856,587
  6. Step 6: Final answer
    x = 1,525,531,239.61

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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.