Finding the Third Proportional to 286,357,693,010 and 430,732,082,748
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Solution
The third proportional to 286,357,693,010 and 430,732,082,748 is: 647,896,430,363.93
Step by Step Solution
- Step 1: Write the proportion equation
286,357,693,010 : 430,732,082,748 = 430,732,082,748 : x - Step 2: Convert to fraction form
286,357,693,010/430,732,082,748 = 430,732,082,748/x - Step 3: Cross multiply
286,357,693,010x = 430,732,082,748 × 430,732,082,748 - Step 4: Simplify right side
286,357,693,010x = 185,530,127,108,429,920,075,776 - Step 5: Solve for x
x = 185,530,127,108,429,920,075,776/286,357,693,010 - Step 6: Final answer
x = 647,896,430,363.93
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.