Finding the Third Proportional to 614,851,414,974 and 1,352,670,962,386.50
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Solution
The third proportional to 614,851,414,974 and 1,352,670,962,386.50 is: 2,975,871,386,033.96
Step by Step Solution
- Step 1: Write the proportion equation
614,851,414,974 : 1,352,670,962,386.50 = 1,352,670,962,386.50 : x - Step 2: Convert to fraction form
614,851,414,974/1,352,670,962,386.50 = 1,352,670,962,386.50/x - Step 3: Cross multiply
614,851,414,974x = 1,352,670,962,386.50 × 1,352,670,962,386.50 - Step 4: Simplify right side
614,851,414,974x = 1,829,718,732,483,620,042,178,560 - Step 5: Solve for x
x = 1,829,718,732,483,620,042,178,560/614,851,414,974 - Step 6: Final answer
x = 2,975,871,386,033.96
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.