Finding the Third Proportional to 474,447,909,817 and 722,772,369,596
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Solution
The third proportional to 474,447,909,817 and 722,772,369,596 is: 1,101,069,026,635.43
Step by Step Solution
- Step 1: Write the proportion equation
474,447,909,817 : 722,772,369,596 = 722,772,369,596 : x - Step 2: Convert to fraction form
474,447,909,817/722,772,369,596 = 722,772,369,596/x - Step 3: Cross multiply
474,447,909,817x = 722,772,369,596 × 722,772,369,596 - Step 4: Simplify right side
474,447,909,817x = 522,399,898,251,416,792,203,264 - Step 5: Solve for x
x = 522,399,898,251,416,792,203,264/474,447,909,817 - Step 6: Final answer
x = 1,101,069,026,635.43
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.