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Finding the Third Proportional to 60,223,038,972 and 91,110,376,873.50

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Solution

The third proportional to 60,223,038,972 and 91,110,376,873.50 is: 137,839,287,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,223,038,972 : 91,110,376,873.50 = 91,110,376,873.50 : x
  2. Step 2: Convert to fraction form
    60,223,038,972/91,110,376,873.50 = 91,110,376,873.50/x
  3. Step 3: Cross multiply
    60,223,038,972x = 91,110,376,873.50 × 91,110,376,873.50
  4. Step 4: Simplify right side
    60,223,038,972x = 8,301,100,774,031,203,762,176
  5. Step 5: Solve for x
    x = 8,301,100,774,031,203,762,176/60,223,038,972
  6. Step 6: Final answer
    x = 137,839,287,351.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.