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Finding the Third Proportional to 1,316,289,656,534 and 1,853,625,893,565

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Solution

The third proportional to 1,316,289,656,534 and 1,853,625,893,565 is: 2,610,313,722,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,289,656,534 : 1,853,625,893,565 = 1,853,625,893,565 : x
  2. Step 2: Convert to fraction form
    1,316,289,656,534/1,853,625,893,565 = 1,853,625,893,565/x
  3. Step 3: Cross multiply
    1,316,289,656,534x = 1,853,625,893,565 × 1,853,625,893,565
  4. Step 4: Simplify right side
    1,316,289,656,534x = 3,435,928,953,294,644,448,329,728
  5. Step 5: Solve for x
    x = 3,435,928,953,294,644,448,329,728/1,316,289,656,534
  6. Step 6: Final answer
    x = 2,610,313,722,544.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.