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Finding the Third Proportional to 15,919,831.13 and 34,110,051.75

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Solution

The third proportional to 15,919,831.13 and 34,110,051.75 is: 73,084,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,919,831.13 : 34,110,051.75 = 34,110,051.75 : x
  2. Step 2: Convert to fraction form
    15,919,831.13/34,110,051.75 = 34,110,051.75/x
  3. Step 3: Cross multiply
    15,919,831.13x = 34,110,051.75 × 34,110,051.75
  4. Step 4: Simplify right side
    15,919,831.13x = 1,163,495,630,387,678
  5. Step 5: Solve for x
    x = 1,163,495,630,387,678/15,919,831.13
  6. Step 6: Final answer
    x = 73,084,671.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.