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Finding the Third Proportional to 40,345,098,642 and 88,290,329,488

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Solution

The third proportional to 40,345,098,642 and 88,290,329,488 is: 193,212,621,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,345,098,642 : 88,290,329,488 = 88,290,329,488 : x
  2. Step 2: Convert to fraction form
    40,345,098,642/88,290,329,488 = 88,290,329,488/x
  3. Step 3: Cross multiply
    40,345,098,642x = 88,290,329,488 × 88,290,329,488
  4. Step 4: Simplify right side
    40,345,098,642x = 7,795,182,281,099,602,558,976
  5. Step 5: Solve for x
    x = 7,795,182,281,099,602,558,976/40,345,098,642
  6. Step 6: Final answer
    x = 193,212,621,693.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.