Finding the Third Proportional to 1,163,246,361,592 and 2,545,623,843,070
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Solution
The third proportional to 1,163,246,361,592 and 2,545,623,843,070 is: 5,570,789,614,624.52
Step by Step Solution
- Step 1: Write the proportion equation
1,163,246,361,592 : 2,545,623,843,070 = 2,545,623,843,070 : x - Step 2: Convert to fraction form
1,163,246,361,592/2,545,623,843,070 = 2,545,623,843,070/x - Step 3: Cross multiply
1,163,246,361,592x = 2,545,623,843,070 × 2,545,623,843,070 - Step 4: Simplify right side
1,163,246,361,592x = 6,480,200,750,406,475,878,236,160 - Step 5: Solve for x
x = 6,480,200,750,406,475,878,236,160/1,163,246,361,592 - Step 6: Final answer
x = 5,570,789,614,624.52
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.