Finding the Third Proportional to 919,111,778,506 and 2,011,364,068,815
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Solution
The third proportional to 919,111,778,506 and 2,011,364,068,815 is: 4,401,625,038,356.12
Step by Step Solution
- Step 1: Write the proportion equation
919,111,778,506 : 2,011,364,068,815 = 2,011,364,068,815 : x - Step 2: Convert to fraction form
919,111,778,506/2,011,364,068,815 = 2,011,364,068,815/x - Step 3: Cross multiply
919,111,778,506x = 2,011,364,068,815 × 2,011,364,068,815 - Step 4: Simplify right side
919,111,778,506x = 4,045,585,417,320,032,223,887,360 - Step 5: Solve for x
x = 4,045,585,417,320,032,223,887,360/919,111,778,506 - Step 6: Final answer
x = 4,401,625,038,356.12
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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.