Finding the Third Proportional to 432,933,506 and 945,223,894
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Solution
The third proportional to 432,933,506 and 945,223,894 is: 2,063,707,699.70
Step by Step Solution
- Step 1: Write the proportion equation
432,933,506 : 945,223,894 = 945,223,894 : x - Step 2: Convert to fraction form
432,933,506/945,223,894 = 945,223,894/x - Step 3: Cross multiply
432,933,506x = 945,223,894 × 945,223,894 - Step 4: Simplify right side
432,933,506x = 893,448,209,788,523,264 - Step 5: Solve for x
x = 893,448,209,788,523,264/432,933,506 - Step 6: Final answer
x = 2,063,707,699.70
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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.