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Finding the Third Proportional to 119,962,448,956 and 249,854,118,968

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Solution

The third proportional to 119,962,448,956 and 249,854,118,968 is: 520,388,515,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,962,448,956 : 249,854,118,968 = 249,854,118,968 : x
  2. Step 2: Convert to fraction form
    119,962,448,956/249,854,118,968 = 249,854,118,968/x
  3. Step 3: Cross multiply
    119,962,448,956x = 249,854,118,968 × 249,854,118,968
  4. Step 4: Simplify right side
    119,962,448,956x = 62,427,080,765,275,501,494,272
  5. Step 5: Solve for x
    x = 62,427,080,765,275,501,494,272/119,962,448,956
  6. Step 6: Final answer
    x = 520,388,515,811.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.