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Finding the Third Proportional to 121,035,295,909 and 264,870,988,427

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Solution

The third proportional to 121,035,295,909 and 264,870,988,427 is: 579,637,864,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,035,295,909 : 264,870,988,427 = 264,870,988,427 : x
  2. Step 2: Convert to fraction form
    121,035,295,909/264,870,988,427 = 264,870,988,427/x
  3. Step 3: Cross multiply
    121,035,295,909x = 264,870,988,427 × 264,870,988,427
  4. Step 4: Simplify right side
    121,035,295,909x = 70,156,640,510,295,970,676,736
  5. Step 5: Solve for x
    x = 70,156,640,510,295,970,676,736/121,035,295,909
  6. Step 6: Final answer
    x = 579,637,864,999.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.