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Finding the Third Proportional to 532,152,536 and 1,137,848,046

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Solution

The third proportional to 532,152,536 and 1,137,848,046 is: 2,432,945,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,152,536 : 1,137,848,046 = 1,137,848,046 : x
  2. Step 2: Convert to fraction form
    532,152,536/1,137,848,046 = 1,137,848,046/x
  3. Step 3: Cross multiply
    532,152,536x = 1,137,848,046 × 1,137,848,046
  4. Step 4: Simplify right side
    532,152,536x = 1,294,698,175,786,018,048
  5. Step 5: Solve for x
    x = 1,294,698,175,786,018,048/532,152,536
  6. Step 6: Final answer
    x = 2,432,945,609.01

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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.