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Finding the Third Proportional to 1,565,292,104 and 3,411,849,928

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Solution

The third proportional to 1,565,292,104 and 3,411,849,928 is: 7,436,771,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,292,104 : 3,411,849,928 = 3,411,849,928 : x
  2. Step 2: Convert to fraction form
    1,565,292,104/3,411,849,928 = 3,411,849,928/x
  3. Step 3: Cross multiply
    1,565,292,104x = 3,411,849,928 × 3,411,849,928
  4. Step 4: Simplify right side
    1,565,292,104x = 11,640,719,931,193,606,144
  5. Step 5: Solve for x
    x = 11,640,719,931,193,606,144/1,565,292,104
  6. Step 6: Final answer
    x = 7,436,771,642.46

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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.