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Finding the Third Proportional to 31,314,396,962,595 and 63,521,685,154,692

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Solution

The third proportional to 31,314,396,962,595 and 63,521,685,154,692 is: 128,854,612,455,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314,396,962,595 : 63,521,685,154,692 = 63,521,685,154,692 : x
  2. Step 2: Convert to fraction form
    31,314,396,962,595/63,521,685,154,692 = 63,521,685,154,692/x
  3. Step 3: Cross multiply
    31,314,396,962,595x = 63,521,685,154,692 × 63,521,685,154,692
  4. Step 4: Simplify right side
    31,314,396,962,595x = 4,035,004,484,891,818,070,651,174,912
  5. Step 5: Solve for x
    x = 4,035,004,484,891,818,070,651,174,912/31,314,396,962,595
  6. Step 6: Final answer
    x = 128,854,612,455,466.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.