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Finding the Third Proportional to 756,050,020 and 1,186,018,318

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Solution

The third proportional to 756,050,020 and 1,186,018,318 is: 1,860,511,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,050,020 : 1,186,018,318 = 1,186,018,318 : x
  2. Step 2: Convert to fraction form
    756,050,020/1,186,018,318 = 1,186,018,318/x
  3. Step 3: Cross multiply
    756,050,020x = 1,186,018,318 × 1,186,018,318
  4. Step 4: Simplify right side
    756,050,020x = 1,406,639,450,631,549,184
  5. Step 5: Solve for x
    x = 1,406,639,450,631,549,184/756,050,020
  6. Step 6: Final answer
    x = 1,860,511,095.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.