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Finding the Third Proportional to 1,565,292,106 and 3,411,849,932

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Solution

The third proportional to 1,565,292,106 and 3,411,849,932 is: 7,436,771,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565,292,106 : 3,411,849,932 = 3,411,849,932 : x
  2. Step 2: Convert to fraction form
    1,565,292,106/3,411,849,932 = 3,411,849,932/x
  3. Step 3: Cross multiply
    1,565,292,106x = 3,411,849,932 × 3,411,849,932
  4. Step 4: Simplify right side
    1,565,292,106x = 11,640,719,958,488,403,968
  5. Step 5: Solve for x
    x = 11,640,719,958,488,403,968/1,565,292,106
  6. Step 6: Final answer
    x = 7,436,771,650.40

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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.