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Finding the Third Proportional to 282,101,724 and 435,918,780

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Solution

The third proportional to 282,101,724 and 435,918,780 is: 673,605,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,101,724 : 435,918,780 = 435,918,780 : x
  2. Step 2: Convert to fraction form
    282,101,724/435,918,780 = 435,918,780/x
  3. Step 3: Cross multiply
    282,101,724x = 435,918,780 × 435,918,780
  4. Step 4: Simplify right side
    282,101,724x = 190,025,182,756,688,384
  5. Step 5: Solve for x
    x = 190,025,182,756,688,384/282,101,724
  6. Step 6: Final answer
    x = 673,605,180.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.