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Finding the Third Proportional to 480,302,020 and 1,132,685,610

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Solution

The third proportional to 480,302,020 and 1,132,685,610 is: 2,671,187,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,302,020 : 1,132,685,610 = 1,132,685,610 : x
  2. Step 2: Convert to fraction form
    480,302,020/1,132,685,610 = 1,132,685,610/x
  3. Step 3: Cross multiply
    480,302,020x = 1,132,685,610 × 1,132,685,610
  4. Step 4: Simplify right side
    480,302,020x = 1,282,976,691,101,072,128
  5. Step 5: Solve for x
    x = 1,282,976,691,101,072,128/480,302,020
  6. Step 6: Final answer
    x = 2,671,187,373.11

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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.