Finding the Third Proportional to 115,115,566,432 and 256,699,931,840
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Solution
The third proportional to 115,115,566,432 and 256,699,931,840 is: 572,423,496,222.69
Step by Step Solution
- Step 1: Write the proportion equation
115,115,566,432 : 256,699,931,840 = 256,699,931,840 : x - Step 2: Convert to fraction form
115,115,566,432/256,699,931,840 = 256,699,931,840/x - Step 3: Cross multiply
115,115,566,432x = 256,699,931,840 × 256,699,931,840 - Step 4: Simplify right side
115,115,566,432x = 65,894,855,006,660,641,947,648 - Step 5: Solve for x
x = 65,894,855,006,660,641,947,648/115,115,566,432 - Step 6: Final answer
x = 572,423,496,222.69
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.