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Finding the Third Proportional to 359,558,533,674 and 782,413,852,235.62

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Solution

The third proportional to 359,558,533,674 and 782,413,852,235.62 is: 1,702,564,057,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,558,533,674 : 782,413,852,235.62 = 782,413,852,235.62 : x
  2. Step 2: Convert to fraction form
    359,558,533,674/782,413,852,235.62 = 782,413,852,235.62/x
  3. Step 3: Cross multiply
    359,558,533,674x = 782,413,852,235.62 × 782,413,852,235.62
  4. Step 4: Simplify right side
    359,558,533,674x = 612,171,436,170,182,570,016,768
  5. Step 5: Solve for x
    x = 612,171,436,170,182,570,016,768/359,558,533,674
  6. Step 6: Final answer
    x = 1,702,564,057,971.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.