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Finding the Third Proportional to 482,159,748 and 1,046,515,698

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Solution

The third proportional to 482,159,748 and 1,046,515,698 is: 2,271,436,200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,159,748 : 1,046,515,698 = 1,046,515,698 : x
  2. Step 2: Convert to fraction form
    482,159,748/1,046,515,698 = 1,046,515,698/x
  3. Step 3: Cross multiply
    482,159,748x = 1,046,515,698 × 1,046,515,698
  4. Step 4: Simplify right side
    482,159,748x = 1,095,195,106,160,427,264
  5. Step 5: Solve for x
    x = 1,095,195,106,160,427,264/482,159,748
  6. Step 6: Final answer
    x = 2,271,436,200.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.