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Finding the Third Proportional to 480,302,018 and 1,132,685,605

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Solution

The third proportional to 480,302,018 and 1,132,685,605 is: 2,671,187,360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,302,018 : 1,132,685,605 = 1,132,685,605 : x
  2. Step 2: Convert to fraction form
    480,302,018/1,132,685,605 = 1,132,685,605/x
  3. Step 3: Cross multiply
    480,302,018x = 1,132,685,605 × 1,132,685,605
  4. Step 4: Simplify right side
    480,302,018x = 1,282,976,679,774,215,936
  5. Step 5: Solve for x
    x = 1,282,976,679,774,215,936/480,302,018
  6. Step 6: Final answer
    x = 2,671,187,360.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.