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Finding the Third Proportional to 1,077,614,908 and 1,576,111,566

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Solution

The third proportional to 1,077,614,908 and 1,576,111,566 is: 2,305,209,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,614,908 : 1,576,111,566 = 1,576,111,566 : x
  2. Step 2: Convert to fraction form
    1,077,614,908/1,576,111,566 = 1,576,111,566/x
  3. Step 3: Cross multiply
    1,077,614,908x = 1,576,111,566 × 1,576,111,566
  4. Step 4: Simplify right side
    1,077,614,908x = 2,484,127,668,478,972,416
  5. Step 5: Solve for x
    x = 2,484,127,668,478,972,416/1,077,614,908
  6. Step 6: Final answer
    x = 2,305,209,077.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.