Finding the Third Proportional to 1,031,849,165,984.10 and 2,244,860,246,772.60
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Solution
The third proportional to 1,031,849,165,984.10 and 2,244,860,246,772.60 is: 4,883,850,948,053.77
Step by Step Solution
- Step 1: Write the proportion equation
1,031,849,165,984.10 : 2,244,860,246,772.60 = 2,244,860,246,772.60 : x - Step 2: Convert to fraction form
1,031,849,165,984.10/2,244,860,246,772.60 = 2,244,860,246,772.60/x - Step 3: Cross multiply
1,031,849,165,984.10x = 2,244,860,246,772.60 × 2,244,860,246,772.60 - Step 4: Simplify right side
1,031,849,165,984.10x = 5,039,397,527,539,939,228,516,352 - Step 5: Solve for x
x = 5,039,397,527,539,939,228,516,352/1,031,849,165,984.10 - Step 6: Final answer
x = 4,883,850,948,053.77
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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.