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Finding the Third Proportional to 1,506,107,292 and 3,254,219,256

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Solution

The third proportional to 1,506,107,292 and 3,254,219,256 is: 7,031,333,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,107,292 : 3,254,219,256 = 3,254,219,256 : x
  2. Step 2: Convert to fraction form
    1,506,107,292/3,254,219,256 = 3,254,219,256/x
  3. Step 3: Cross multiply
    1,506,107,292x = 3,254,219,256 × 3,254,219,256
  4. Step 4: Simplify right side
    1,506,107,292x = 10,589,942,966,121,193,472
  5. Step 5: Solve for x
    x = 10,589,942,966,121,193,472/1,506,107,292
  6. Step 6: Final answer
    x = 7,031,333,705.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.