Finding the Third Proportional to 1,011,337,026,984 and 1,461,207,357,351
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Solution
The third proportional to 1,011,337,026,984 and 1,461,207,357,351 is: 2,111,192,297,135.65
Step by Step Solution
- Step 1: Write the proportion equation
1,011,337,026,984 : 1,461,207,357,351 = 1,461,207,357,351 : x - Step 2: Convert to fraction form
1,011,337,026,984/1,461,207,357,351 = 1,461,207,357,351/x - Step 3: Cross multiply
1,011,337,026,984x = 1,461,207,357,351 × 1,461,207,357,351 - Step 4: Simplify right side
1,011,337,026,984x = 2,135,126,941,176,692,920,549,376 - Step 5: Solve for x
x = 2,135,126,941,176,692,920,549,376/1,011,337,026,984 - Step 6: Final answer
x = 2,111,192,297,135.65
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.