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Finding the Third Proportional to 121,448,896 and 264,461,564

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Solution

The third proportional to 121,448,896 and 264,461,564 is: 575,879,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,448,896 : 264,461,564 = 264,461,564 : x
  2. Step 2: Convert to fraction form
    121,448,896/264,461,564 = 264,461,564/x
  3. Step 3: Cross multiply
    121,448,896x = 264,461,564 × 264,461,564
  4. Step 4: Simplify right side
    121,448,896x = 69,939,918,833,326,096
  5. Step 5: Solve for x
    x = 69,939,918,833,326,096/121,448,896
  6. Step 6: Final answer
    x = 575,879,412.14

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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.