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Finding the Third Proportional to 301,255,440,300 and 655,464,118,194

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Solution

The third proportional to 301,255,440,300 and 655,464,118,194 is: 1,426,142,577,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,255,440,300 : 655,464,118,194 = 655,464,118,194 : x
  2. Step 2: Convert to fraction form
    301,255,440,300/655,464,118,194 = 655,464,118,194/x
  3. Step 3: Cross multiply
    301,255,440,300x = 655,464,118,194 × 655,464,118,194
  4. Step 4: Simplify right side
    301,255,440,300x = 429,633,210,239,838,033,281,024
  5. Step 5: Solve for x
    x = 429,633,210,239,838,033,281,024/301,255,440,300
  6. Step 6: Final answer
    x = 1,426,142,577,913.27

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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.