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Finding the Third Proportional to 121,448,894 and 264,461,560

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Solution

The third proportional to 121,448,894 and 264,461,560 is: 575,879,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,448,894 : 264,461,560 = 264,461,560 : x
  2. Step 2: Convert to fraction form
    121,448,894/264,461,560 = 264,461,560/x
  3. Step 3: Cross multiply
    121,448,894x = 264,461,560 × 264,461,560
  4. Step 4: Simplify right side
    121,448,894x = 69,939,916,717,633,600
  5. Step 5: Solve for x
    x = 69,939,916,717,633,600/121,448,894
  6. Step 6: Final answer
    x = 575,879,404.20

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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.