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Finding the Third Proportional to 16,765,503,970.50 and 34,023,653,748

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Solution

The third proportional to 16,765,503,970.50 and 34,023,653,748 is: 69,047,075,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765,503,970.50 : 34,023,653,748 = 34,023,653,748 : x
  2. Step 2: Convert to fraction form
    16,765,503,970.50/34,023,653,748 = 34,023,653,748/x
  3. Step 3: Cross multiply
    16,765,503,970.50x = 34,023,653,748 × 34,023,653,748
  4. Step 4: Simplify right side
    16,765,503,970.50x = 1,157,609,014,363,794,440,192
  5. Step 5: Solve for x
    x = 1,157,609,014,363,794,440,192/16,765,503,970.50
  6. Step 6: Final answer
    x = 69,047,075,256.47

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