Finding the Third Proportional to 747,928,909,707 and 1,516,669,814,970
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Solution
The third proportional to 747,928,909,707 and 1,516,669,814,970 is: 3,075,542,739,138.49
Step by Step Solution
- Step 1: Write the proportion equation
747,928,909,707 : 1,516,669,814,970 = 1,516,669,814,970 : x - Step 2: Convert to fraction form
747,928,909,707/1,516,669,814,970 = 1,516,669,814,970/x - Step 3: Cross multiply
747,928,909,707x = 1,516,669,814,970 × 1,516,669,814,970 - Step 4: Simplify right side
747,928,909,707x = 2,300,287,327,641,134,058,962,944 - Step 5: Solve for x
x = 2,300,287,327,641,134,058,962,944/747,928,909,707 - Step 6: Final answer
x = 3,075,542,739,138.49
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.