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Finding the Third Proportional to 61,289,370,564 and 86,271,329,818

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Solution

The third proportional to 61,289,370,564 and 86,271,329,818 is: 121,436,103,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,289,370,564 : 86,271,329,818 = 86,271,329,818 : x
  2. Step 2: Convert to fraction form
    61,289,370,564/86,271,329,818 = 86,271,329,818/x
  3. Step 3: Cross multiply
    61,289,370,564x = 86,271,329,818 × 86,271,329,818
  4. Step 4: Simplify right side
    61,289,370,564x = 7,442,742,348,566,135,570,432
  5. Step 5: Solve for x
    x = 7,442,742,348,566,135,570,432/61,289,370,564
  6. Step 6: Final answer
    x = 121,436,103,521.32

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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.