Finding the Third Proportional to 10,968,097,756 and 16,709,138,250
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Solution
The third proportional to 10,968,097,756 and 16,709,138,250 is: 25,455,216,325.45
Step by Step Solution
- Step 1: Write the proportion equation
10,968,097,756 : 16,709,138,250 = 16,709,138,250 : x - Step 2: Convert to fraction form
10,968,097,756/16,709,138,250 = 16,709,138,250/x - Step 3: Cross multiply
10,968,097,756x = 16,709,138,250 × 16,709,138,250 - Step 4: Simplify right side
10,968,097,756x = 279,195,301,057,613,070,336 - Step 5: Solve for x
x = 279,195,301,057,613,070,336/10,968,097,756 - Step 6: Final answer
x = 25,455,216,325.45
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.