Finding the Third Proportional to 576,564,352 and 1,243,827,824
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Solution
The third proportional to 576,564,352 and 1,243,827,824 is: 2,683,321,732.24
Step by Step Solution
- Step 1: Write the proportion equation
576,564,352 : 1,243,827,824 = 1,243,827,824 : x - Step 2: Convert to fraction form
576,564,352/1,243,827,824 = 1,243,827,824/x - Step 3: Cross multiply
576,564,352x = 1,243,827,824 × 1,243,827,824 - Step 4: Simplify right side
576,564,352x = 1,547,107,655,756,574,976 - Step 5: Solve for x
x = 1,547,107,655,756,574,976/576,564,352 - Step 6: Final answer
x = 2,683,321,732.24
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.