Finding the Third Proportional to 832,781,760 and 1,293,648,642
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Solution
The third proportional to 832,781,760 and 1,293,648,642 is: 2,009,562,275.89
Step by Step Solution
- Step 1: Write the proportion equation
832,781,760 : 1,293,648,642 = 1,293,648,642 : x - Step 2: Convert to fraction form
832,781,760/1,293,648,642 = 1,293,648,642/x - Step 3: Cross multiply
832,781,760x = 1,293,648,642 × 1,293,648,642 - Step 4: Simplify right side
832,781,760x = 1,673,526,808,948,444,160 - Step 5: Solve for x
x = 1,673,526,808,948,444,160/832,781,760 - Step 6: Final answer
x = 2,009,562,275.89
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.