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Finding the Third Proportional to 4,366,094,276,743.10 and 9,429,304,884,639.80

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Solution

The third proportional to 4,366,094,276,743.10 and 9,429,304,884,639.80 is: 20,364,148,131,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366,094,276,743.10 : 9,429,304,884,639.80 = 9,429,304,884,639.80 : x
  2. Step 2: Convert to fraction form
    4,366,094,276,743.10/9,429,304,884,639.80 = 9,429,304,884,639.80/x
  3. Step 3: Cross multiply
    4,366,094,276,743.10x = 9,429,304,884,639.80 × 9,429,304,884,639.80
  4. Step 4: Simplify right side
    4,366,094,276,743.10x = 88,911,790,607,492,006,411,239,424
  5. Step 5: Solve for x
    x = 88,911,790,607,492,006,411,239,424/4,366,094,276,743.10
  6. Step 6: Final answer
    x = 20,364,148,131,454.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.