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Finding the Third Proportional to 71,023,907,818.13 and 154,550,884,237.88

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Solution

The third proportional to 71,023,907,818.13 and 154,550,884,237.88 is: 336,308,949,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023,907,818.13 : 154,550,884,237.88 = 154,550,884,237.88 : x
  2. Step 2: Convert to fraction form
    71,023,907,818.13/154,550,884,237.88 = 154,550,884,237.88/x
  3. Step 3: Cross multiply
    71,023,907,818.13x = 154,550,884,237.88 × 154,550,884,237.88
  4. Step 4: Simplify right side
    71,023,907,818.13x = 23,885,975,818,710,586,228,736
  5. Step 5: Solve for x
    x = 23,885,975,818,710,586,228,736/71,023,907,818.13
  6. Step 6: Final answer
    x = 336,308,949,373.45

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