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Finding the Third Proportional to 6,574,471,068.75 and 14,079,830,425.50

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Solution

The third proportional to 6,574,471,068.75 and 14,079,830,425.50 is: 30,153,243,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574,471,068.75 : 14,079,830,425.50 = 14,079,830,425.50 : x
  2. Step 2: Convert to fraction form
    6,574,471,068.75/14,079,830,425.50 = 14,079,830,425.50/x
  3. Step 3: Cross multiply
    6,574,471,068.75x = 14,079,830,425.50 × 14,079,830,425.50
  4. Step 4: Simplify right side
    6,574,471,068.75x = 198,241,624,810,835,509,248
  5. Step 5: Solve for x
    x = 198,241,624,810,835,509,248/6,574,471,068.75
  6. Step 6: Final answer
    x = 30,153,243,164.02

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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.