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Finding the Third Proportional to 756,050,017 and 1,186,018,314

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Solution

The third proportional to 756,050,017 and 1,186,018,314 is: 1,860,511,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,050,017 : 1,186,018,314 = 1,186,018,314 : x
  2. Step 2: Convert to fraction form
    756,050,017/1,186,018,314 = 1,186,018,314/x
  3. Step 3: Cross multiply
    756,050,017x = 1,186,018,314 × 1,186,018,314
  4. Step 4: Simplify right side
    756,050,017x = 1,406,639,441,143,402,496
  5. Step 5: Solve for x
    x = 1,406,639,441,143,402,496/756,050,017
  6. Step 6: Final answer
    x = 1,860,511,089.89

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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.