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Finding the Third Proportional to 61,289,370,570 and 86,271,329,827

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Solution

The third proportional to 61,289,370,570 and 86,271,329,827 is: 121,436,103,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,289,370,570 : 86,271,329,827 = 86,271,329,827 : x
  2. Step 2: Convert to fraction form
    61,289,370,570/86,271,329,827 = 86,271,329,827/x
  3. Step 3: Cross multiply
    61,289,370,570x = 86,271,329,827 × 86,271,329,827
  4. Step 4: Simplify right side
    61,289,370,570x = 7,442,742,350,119,020,003,328
  5. Step 5: Solve for x
    x = 7,442,742,350,119,020,003,328/61,289,370,570
  6. Step 6: Final answer
    x = 121,436,103,534.76

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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.