Finding the Third Proportional to 1,031,849,165,983 and 2,244,860,246,768
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Solution
The third proportional to 1,031,849,165,983 and 2,244,860,246,768 is: 4,883,850,948,038.96
Step by Step Solution
- Step 1: Write the proportion equation
1,031,849,165,983 : 2,244,860,246,768 = 2,244,860,246,768 : x - Step 2: Convert to fraction form
1,031,849,165,983/2,244,860,246,768 = 2,244,860,246,768/x - Step 3: Cross multiply
1,031,849,165,983x = 2,244,860,246,768 × 2,244,860,246,768 - Step 4: Simplify right side
1,031,849,165,983x = 5,039,397,527,519,285,804,531,712 - Step 5: Solve for x
x = 5,039,397,527,519,285,804,531,712/1,031,849,165,983 - Step 6: Final answer
x = 4,883,850,948,038.96
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.