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Finding the Third Proportional to 64,790,445,224 and 100,973,668,440

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Solution

The third proportional to 64,790,445,224 and 100,973,668,440 is: 157,363,970,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,790,445,224 : 100,973,668,440 = 100,973,668,440 : x
  2. Step 2: Convert to fraction form
    64,790,445,224/100,973,668,440 = 100,973,668,440/x
  3. Step 3: Cross multiply
    64,790,445,224x = 100,973,668,440 × 100,973,668,440
  4. Step 4: Simplify right side
    64,790,445,224x = 10,195,681,718,231,051,010,048
  5. Step 5: Solve for x
    x = 10,195,681,718,231,051,010,048/64,790,445,224
  6. Step 6: Final answer
    x = 157,363,970,612.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.