Finding the Third Proportional to 288,249,119,226 and 619,878,739,716
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Solution
The third proportional to 288,249,119,226 and 619,878,739,716 is: 1,333,047,098,231.12
Step by Step Solution
- Step 1: Write the proportion equation
288,249,119,226 : 619,878,739,716 = 619,878,739,716 : x - Step 2: Convert to fraction form
288,249,119,226/619,878,739,716 = 619,878,739,716/x - Step 3: Cross multiply
288,249,119,226x = 619,878,739,716 × 619,878,739,716 - Step 4: Simplify right side
288,249,119,226x = 384,249,651,951,896,469,962,752 - Step 5: Solve for x
x = 384,249,651,951,896,469,962,752/288,249,119,226 - Step 6: Final answer
x = 1,333,047,098,231.12
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.