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Finding the Third Proportional to 530,448,348 and 1,115,867,164

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Solution

The third proportional to 530,448,348 and 1,115,867,164 is: 2,347,371,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,448,348 : 1,115,867,164 = 1,115,867,164 : x
  2. Step 2: Convert to fraction form
    530,448,348/1,115,867,164 = 1,115,867,164/x
  3. Step 3: Cross multiply
    530,448,348x = 1,115,867,164 × 1,115,867,164
  4. Step 4: Simplify right side
    530,448,348x = 1,245,159,527,693,402,880
  5. Step 5: Solve for x
    x = 1,245,159,527,693,402,880/530,448,348
  6. Step 6: Final answer
    x = 2,347,371,864.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.