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Finding the Third Proportional to 10,738,851,718 and 25,314,459,607

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Solution

The third proportional to 10,738,851,718 and 25,314,459,607 is: 59,673,220,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738,851,718 : 25,314,459,607 = 25,314,459,607 : x
  2. Step 2: Convert to fraction form
    10,738,851,718/25,314,459,607 = 25,314,459,607/x
  3. Step 3: Cross multiply
    10,738,851,718x = 25,314,459,607 × 25,314,459,607
  4. Step 4: Simplify right side
    10,738,851,718x = 640,821,865,194,434,592,768
  5. Step 5: Solve for x
    x = 640,821,865,194,434,592,768/10,738,851,718
  6. Step 6: Final answer
    x = 59,673,220,379.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.