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Finding the Third Proportional to 4,512,358,249,094 and 9,911,181,432,361

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Solution

The third proportional to 4,512,358,249,094 and 9,911,181,432,361 is: 21,769,441,157,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512,358,249,094 : 9,911,181,432,361 = 9,911,181,432,361 : x
  2. Step 2: Convert to fraction form
    4,512,358,249,094/9,911,181,432,361 = 9,911,181,432,361/x
  3. Step 3: Cross multiply
    4,512,358,249,094x = 9,911,181,432,361 × 9,911,181,432,361
  4. Step 4: Simplify right side
    4,512,358,249,094x = 98,231,517,385,177,440,670,711,808
  5. Step 5: Solve for x
    x = 98,231,517,385,177,440,670,711,808/4,512,358,249,094
  6. Step 6: Final answer
    x = 21,769,441,157,492.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.