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Finding the Third Proportional to 299,294,078,128 and 651,275,983,904

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Solution

The third proportional to 299,294,078,128 and 651,275,983,904 is: 1,417,202,805,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294,078,128 : 651,275,983,904 = 651,275,983,904 : x
  2. Step 2: Convert to fraction form
    299,294,078,128/651,275,983,904 = 651,275,983,904/x
  3. Step 3: Cross multiply
    299,294,078,128x = 651,275,983,904 × 651,275,983,904
  4. Step 4: Simplify right side
    299,294,078,128x = 424,160,407,210,123,237,261,312
  5. Step 5: Solve for x
    x = 424,160,407,210,123,237,261,312/299,294,078,128
  6. Step 6: Final answer
    x = 1,417,202,805,558.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.