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Finding the Third Proportional to 1,456,616,283 and 2,129,623,941

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Solution

The third proportional to 1,456,616,283 and 2,129,623,941 is: 3,113,584,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,616,283 : 2,129,623,941 = 2,129,623,941 : x
  2. Step 2: Convert to fraction form
    1,456,616,283/2,129,623,941 = 2,129,623,941/x
  3. Step 3: Cross multiply
    1,456,616,283x = 2,129,623,941 × 2,129,623,941
  4. Step 4: Simplify right side
    1,456,616,283x = 4,535,298,130,080,371,712
  5. Step 5: Solve for x
    x = 4,535,298,130,080,371,712/1,456,616,283
  6. Step 6: Final answer
    x = 3,113,584,670.86

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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.