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Finding the Third Proportional to 607,041,536 and 1,332,068,224

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Solution

The third proportional to 607,041,536 and 1,332,068,224 is: 2,923,038,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,041,536 : 1,332,068,224 = 1,332,068,224 : x
  2. Step 2: Convert to fraction form
    607,041,536/1,332,068,224 = 1,332,068,224/x
  3. Step 3: Cross multiply
    607,041,536x = 1,332,068,224 × 1,332,068,224
  4. Step 4: Simplify right side
    607,041,536x = 1,774,405,753,390,514,176
  5. Step 5: Solve for x
    x = 1,774,405,753,390,514,176/607,041,536
  6. Step 6: Final answer
    x = 2,923,038,454.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.