Finding the Third Proportional to 519,938,567,740 and 1,132,181,572,184
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Solution
The third proportional to 519,938,567,740 and 1,132,181,572,184 is: 2,465,358,778,758.70
Step by Step Solution
- Step 1: Write the proportion equation
519,938,567,740 : 1,132,181,572,184 = 1,132,181,572,184 : x - Step 2: Convert to fraction form
519,938,567,740/1,132,181,572,184 = 1,132,181,572,184/x - Step 3: Cross multiply
519,938,567,740x = 1,132,181,572,184 × 1,132,181,572,184 - Step 4: Simplify right side
519,938,567,740x = 1,281,835,112,393,034,057,121,792 - Step 5: Solve for x
x = 1,281,835,112,393,034,057,121,792/519,938,567,740 - Step 6: Final answer
x = 2,465,358,778,758.70
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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.