Finding the Third Proportional to 2,575,414,718.44 and 5,578,681,541.63
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Solution
The third proportional to 2,575,414,718.44 and 5,578,681,541.63 is: 12,084,146,106.67
Step by Step Solution
- Step 1: Write the proportion equation
2,575,414,718.44 : 5,578,681,541.63 = 5,578,681,541.63 : x - Step 2: Convert to fraction form
2,575,414,718.44/5,578,681,541.63 = 5,578,681,541.63/x - Step 3: Cross multiply
2,575,414,718.44x = 5,578,681,541.63 × 5,578,681,541.63 - Step 4: Simplify right side
2,575,414,718.44x = 31,121,687,742,867,484,672 - Step 5: Solve for x
x = 31,121,687,742,867,484,672/2,575,414,718.44 - Step 6: Final answer
x = 12,084,146,106.67
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.