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Finding the Third Proportional to 1,502,935,776 and 2,415,961,404

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Solution

The third proportional to 1,502,935,776 and 2,415,961,404 is: 3,883,645,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,935,776 : 2,415,961,404 = 2,415,961,404 : x
  2. Step 2: Convert to fraction form
    1,502,935,776/2,415,961,404 = 2,415,961,404/x
  3. Step 3: Cross multiply
    1,502,935,776x = 2,415,961,404 × 2,415,961,404
  4. Step 4: Simplify right side
    1,502,935,776x = 5,836,869,505,617,651,712
  5. Step 5: Solve for x
    x = 5,836,869,505,617,651,712/1,502,935,776
  6. Step 6: Final answer
    x = 3,883,645,328.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.