Finding the Third Proportional to 299,299,632 and 643,155,712
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Solution
The third proportional to 299,299,632 and 643,155,712 is: 1,382,057,395.51
Step by Step Solution
- Step 1: Write the proportion equation
299,299,632 : 643,155,712 = 643,155,712 : x - Step 2: Convert to fraction form
299,299,632/643,155,712 = 643,155,712/x - Step 3: Cross multiply
299,299,632x = 643,155,712 × 643,155,712 - Step 4: Simplify right side
299,299,632x = 413,649,269,878,226,944 - Step 5: Solve for x
x = 413,649,269,878,226,944/299,299,632 - Step 6: Final answer
x = 1,382,057,395.51
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.