Finding the Third Proportional to 468,011,646 and 1,014,115,068
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Solution
The third proportional to 468,011,646 and 1,014,115,068 is: 2,197,443,973.74
Step by Step Solution
- Step 1: Write the proportion equation
468,011,646 : 1,014,115,068 = 1,014,115,068 : x - Step 2: Convert to fraction form
468,011,646/1,014,115,068 = 1,014,115,068/x - Step 3: Cross multiply
468,011,646x = 1,014,115,068 × 1,014,115,068 - Step 4: Simplify right side
468,011,646x = 1,028,429,371,144,644,608 - Step 5: Solve for x
x = 1,028,429,371,144,644,608/468,011,646 - Step 6: Final answer
x = 2,197,443,973.74
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.