Finding the Third Proportional to 1,473,402,102,721 and 3,206,252,062,735
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Solution
The third proportional to 1,473,402,102,721 and 3,206,252,062,735 is: 6,977,085,393,598.80
Step by Step Solution
- Step 1: Write the proportion equation
1,473,402,102,721 : 3,206,252,062,735 = 3,206,252,062,735 : x - Step 2: Convert to fraction form
1,473,402,102,721/3,206,252,062,735 = 3,206,252,062,735/x - Step 3: Cross multiply
1,473,402,102,721x = 3,206,252,062,735 × 3,206,252,062,735 - Step 4: Simplify right side
1,473,402,102,721x = 10,280,052,289,792,441,642,385,408 - Step 5: Solve for x
x = 10,280,052,289,792,441,642,385,408/1,473,402,102,721 - Step 6: Final answer
x = 6,977,085,393,598.80
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.