Finding the Third Proportional to 6,630,309,462,258 and 14,428,134,282,334
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Solution
The third proportional to 6,630,309,462,258 and 14,428,134,282,334 is: 31,396,884,271,245.99
Step by Step Solution
- Step 1: Write the proportion equation
6,630,309,462,258 : 14,428,134,282,334 = 14,428,134,282,334 : x - Step 2: Convert to fraction form
6,630,309,462,258/14,428,134,282,334 = 14,428,134,282,334/x - Step 3: Cross multiply
6,630,309,462,258x = 14,428,134,282,334 × 14,428,134,282,334 - Step 4: Simplify right side
6,630,309,462,258x = 208,171,058,869,061,642,321,133,568 - Step 5: Solve for x
x = 208,171,058,869,061,642,321,133,568/6,630,309,462,258 - Step 6: Final answer
x = 31,396,884,271,245.99
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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.