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Finding the Third Proportional to 1,078,157,502 and 1,656,181,824

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Solution

The third proportional to 1,078,157,502 and 1,656,181,824 is: 2,544,097,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,157,502 : 1,656,181,824 = 1,656,181,824 : x
  2. Step 2: Convert to fraction form
    1,078,157,502/1,656,181,824 = 1,656,181,824/x
  3. Step 3: Cross multiply
    1,078,157,502x = 1,656,181,824 × 1,656,181,824
  4. Step 4: Simplify right side
    1,078,157,502x = 2,742,938,234,147,966,976
  5. Step 5: Solve for x
    x = 2,742,938,234,147,966,976/1,078,157,502
  6. Step 6: Final answer
    x = 2,544,097,897.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.