Finding the Third Proportional to 900,536,811,747 and 1,371,905,541,106.50
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Solution
The third proportional to 900,536,811,747 and 1,371,905,541,106.50 is: 2,090,003,194,947.11
Step by Step Solution
- Step 1: Write the proportion equation
900,536,811,747 : 1,371,905,541,106.50 = 1,371,905,541,106.50 : x - Step 2: Convert to fraction form
900,536,811,747/1,371,905,541,106.50 = 1,371,905,541,106.50/x - Step 3: Cross multiply
900,536,811,747x = 1,371,905,541,106.50 × 1,371,905,541,106.50 - Step 4: Simplify right side
900,536,811,747x = 1,882,124,813,718,718,433,460,224 - Step 5: Solve for x
x = 1,882,124,813,718,718,433,460,224/900,536,811,747 - Step 6: Final answer
x = 2,090,003,194,947.11
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.