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Finding the Third Proportional to 437,016,492 and 936,013,752

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Solution

The third proportional to 437,016,492 and 936,013,752 is: 2,004,779,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,016,492 : 936,013,752 = 936,013,752 : x
  2. Step 2: Convert to fraction form
    437,016,492/936,013,752 = 936,013,752/x
  3. Step 3: Cross multiply
    437,016,492x = 936,013,752 × 936,013,752
  4. Step 4: Simplify right side
    437,016,492x = 876,121,743,933,117,440
  5. Step 5: Solve for x
    x = 876,121,743,933,117,440/437,016,492
  6. Step 6: Final answer
    x = 2,004,779,590.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.