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Finding the Third Proportional to 560,011,746.75 and 806,661,495.75

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Solution

The third proportional to 560,011,746.75 and 806,661,495.75 is: 1,161,944,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,011,746.75 : 806,661,495.75 = 806,661,495.75 : x
  2. Step 2: Convert to fraction form
    560,011,746.75/806,661,495.75 = 806,661,495.75/x
  3. Step 3: Cross multiply
    560,011,746.75x = 806,661,495.75 × 806,661,495.75
  4. Step 4: Simplify right side
    560,011,746.75x = 650,702,768,725,627,264
  5. Step 5: Solve for x
    x = 650,702,768,725,627,264/560,011,746.75
  6. Step 6: Final answer
    x = 1,161,944,856.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.