Finding the Third Proportional to 693,251,423,650 and 1,509,575,429,572
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Solution
The third proportional to 693,251,423,650 and 1,509,575,429,572 is: 3,287,145,038,331.71
Step by Step Solution
- Step 1: Write the proportion equation
693,251,423,650 : 1,509,575,429,572 = 1,509,575,429,572 : x - Step 2: Convert to fraction form
693,251,423,650/1,509,575,429,572 = 1,509,575,429,572/x - Step 3: Cross multiply
693,251,423,650x = 1,509,575,429,572 × 1,509,575,429,572 - Step 4: Simplify right side
693,251,423,650x = 2,278,817,977,567,488,333,840,384 - Step 5: Solve for x
x = 2,278,817,977,567,488,333,840,384/693,251,423,650 - Step 6: Final answer
x = 3,287,145,038,331.71
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.