Finding the Third Proportional to 6,768,537,373,641 and 14,866,772,148,542
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Solution
The third proportional to 6,768,537,373,641 and 14,866,772,148,542 is: 32,654,161,736,240.86
Step by Step Solution
- Step 1: Write the proportion equation
6,768,537,373,641 : 14,866,772,148,542 = 14,866,772,148,542 : x - Step 2: Convert to fraction form
6,768,537,373,641/14,866,772,148,542 = 14,866,772,148,542/x - Step 3: Cross multiply
6,768,537,373,641x = 14,866,772,148,542 × 14,866,772,148,542 - Step 4: Simplify right side
6,768,537,373,641x = 221,020,914,116,664,106,390,913,024 - Step 5: Solve for x
x = 221,020,914,116,664,106,390,913,024/6,768,537,373,641 - Step 6: Final answer
x = 32,654,161,736,240.86
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.