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Finding the Third Proportional to 1,641,668,810,056 and 3,530,403,130,928

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Solution

The third proportional to 1,641,668,810,056 and 3,530,403,130,928 is: 7,592,119,793,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,668,810,056 : 3,530,403,130,928 = 3,530,403,130,928 : x
  2. Step 2: Convert to fraction form
    1,641,668,810,056/3,530,403,130,928 = 3,530,403,130,928/x
  3. Step 3: Cross multiply
    1,641,668,810,056x = 3,530,403,130,928 × 3,530,403,130,928
  4. Step 4: Simplify right side
    1,641,668,810,056x = 12,463,746,266,866,225,395,007,488
  5. Step 5: Solve for x
    x = 12,463,746,266,866,225,395,007,488/1,641,668,810,056
  6. Step 6: Final answer
    x = 7,592,119,793,298.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.