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Finding the Third Proportional to 6,911,318,803,932 and 15,039,308,128,017

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Solution

The third proportional to 6,911,318,803,932 and 15,039,308,128,017 is: 32,726,140,319,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911,318,803,932 : 15,039,308,128,017 = 15,039,308,128,017 : x
  2. Step 2: Convert to fraction form
    6,911,318,803,932/15,039,308,128,017 = 15,039,308,128,017/x
  3. Step 3: Cross multiply
    6,911,318,803,932x = 15,039,308,128,017 × 15,039,308,128,017
  4. Step 4: Simplify right side
    6,911,318,803,932x = 226,180,788,969,438,199,983,112,192
  5. Step 5: Solve for x
    x = 226,180,788,969,438,199,983,112,192/6,911,318,803,932
  6. Step 6: Final answer
    x = 32,726,140,319,378.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.