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Finding the Third Proportional to 383,175,901.69 and 838,893,454.31

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Solution

The third proportional to 383,175,901.69 and 838,893,454.31 is: 1,836,603,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,175,901.69 : 838,893,454.31 = 838,893,454.31 : x
  2. Step 2: Convert to fraction form
    383,175,901.69/838,893,454.31 = 838,893,454.31/x
  3. Step 3: Cross multiply
    383,175,901.69x = 838,893,454.31 × 838,893,454.31
  4. Step 4: Simplify right side
    383,175,901.69x = 703,742,227,688,358,528
  5. Step 5: Solve for x
    x = 703,742,227,688,358,528/383,175,901.69
  6. Step 6: Final answer
    x = 1,836,603,566.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.