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Finding the Third Proportional to 14,335,148,967.75 and 19,931,878,791

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Solution

The third proportional to 14,335,148,967.75 and 19,931,878,791 is: 27,713,684,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335,148,967.75 : 19,931,878,791 = 19,931,878,791 : x
  2. Step 2: Convert to fraction form
    14,335,148,967.75/19,931,878,791 = 19,931,878,791/x
  3. Step 3: Cross multiply
    14,335,148,967.75x = 19,931,878,791 × 19,931,878,791
  4. Step 4: Simplify right side
    14,335,148,967.75x = 397,279,792,139,115,626,496
  5. Step 5: Solve for x
    x = 397,279,792,139,115,626,496/14,335,148,967.75
  6. Step 6: Final answer
    x = 27,713,684,247.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.