Finding the Third Proportional to 1,207,444,994,176 and 2,584,507,316,480
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Solution
The third proportional to 1,207,444,994,176 and 2,584,507,316,480 is: 5,532,076,493,055.56
Step by Step Solution
- Step 1: Write the proportion equation
1,207,444,994,176 : 2,584,507,316,480 = 2,584,507,316,480 : x - Step 2: Convert to fraction form
1,207,444,994,176/2,584,507,316,480 = 2,584,507,316,480/x - Step 3: Cross multiply
1,207,444,994,176x = 2,584,507,316,480 × 2,584,507,316,480 - Step 4: Simplify right side
1,207,444,994,176x = 6,679,678,068,938,650,742,161,408 - Step 5: Solve for x
x = 6,679,678,068,938,650,742,161,408/1,207,444,994,176 - Step 6: Final answer
x = 5,532,076,493,055.56
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.