Finding the Third Proportional to 612,943,039,614 and 1,432,111,565,991
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Solution
The third proportional to 612,943,039,614 and 1,432,111,565,991 is: 3,346,058,940,055.46
Step by Step Solution
- Step 1: Write the proportion equation
612,943,039,614 : 1,432,111,565,991 = 1,432,111,565,991 : x - Step 2: Convert to fraction form
612,943,039,614/1,432,111,565,991 = 1,432,111,565,991/x - Step 3: Cross multiply
612,943,039,614x = 1,432,111,565,991 × 1,432,111,565,991 - Step 4: Simplify right side
612,943,039,614x = 2,050,943,537,445,194,382,180,352 - Step 5: Solve for x
x = 2,050,943,537,445,194,382,180,352/612,943,039,614 - Step 6: Final answer
x = 3,346,058,940,055.46
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.