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Finding the Third Proportional to 7,920,742,117.50 and 16,785,821,679

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Solution

The third proportional to 7,920,742,117.50 and 16,785,821,679 is: 35,572,905,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920,742,117.50 : 16,785,821,679 = 16,785,821,679 : x
  2. Step 2: Convert to fraction form
    7,920,742,117.50/16,785,821,679 = 16,785,821,679/x
  3. Step 3: Cross multiply
    7,920,742,117.50x = 16,785,821,679 × 16,785,821,679
  4. Step 4: Simplify right side
    7,920,742,117.50x = 281,763,809,439,186,386,944
  5. Step 5: Solve for x
    x = 281,763,809,439,186,386,944/7,920,742,117.50
  6. Step 6: Final answer
    x = 35,572,905,323.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.