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Finding the Third Proportional to 775,966,528 and 1,681,088,256

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Solution

The third proportional to 775,966,528 and 1,681,088,256 is: 3,641,984,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,966,528 : 1,681,088,256 = 1,681,088,256 : x
  2. Step 2: Convert to fraction form
    775,966,528/1,681,088,256 = 1,681,088,256/x
  3. Step 3: Cross multiply
    775,966,528x = 1,681,088,256 × 1,681,088,256
  4. Step 4: Simplify right side
    775,966,528x = 2,826,057,724,461,121,536
  5. Step 5: Solve for x
    x = 2,826,057,724,461,121,536/775,966,528
  6. Step 6: Final answer
    x = 3,641,984,057.93

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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.