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Finding the Third Proportional to 1,358,606,940 and 2,963,160,372

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Solution

The third proportional to 1,358,606,940 and 2,963,160,372 is: 6,462,737,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,606,940 : 2,963,160,372 = 2,963,160,372 : x
  2. Step 2: Convert to fraction form
    1,358,606,940/2,963,160,372 = 2,963,160,372/x
  3. Step 3: Cross multiply
    1,358,606,940x = 2,963,160,372 × 2,963,160,372
  4. Step 4: Simplify right side
    1,358,606,940x = 8,780,319,390,191,178,752
  5. Step 5: Solve for x
    x = 8,780,319,390,191,178,752/1,358,606,940
  6. Step 6: Final answer
    x = 6,462,737,037.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.