Finding the Third Proportional to 989,219,926,781 and 2,142,700,984,195
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Solution
The third proportional to 989,219,926,781 and 2,142,700,984,195 is: 4,641,199,983,314.37
Step by Step Solution
- Step 1: Write the proportion equation
989,219,926,781 : 2,142,700,984,195 = 2,142,700,984,195 : x - Step 2: Convert to fraction form
989,219,926,781/2,142,700,984,195 = 2,142,700,984,195/x - Step 3: Cross multiply
989,219,926,781x = 2,142,700,984,195 × 2,142,700,984,195 - Step 4: Simplify right side
989,219,926,781x = 4,591,167,507,670,221,614,743,552 - Step 5: Solve for x
x = 4,591,167,507,670,221,614,743,552/989,219,926,781 - Step 6: Final answer
x = 4,641,199,983,314.37
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.