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Finding the Third Proportional to 1,913,044,761,042 and 4,216,028,971,455.80

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Solution

The third proportional to 1,913,044,761,042 and 4,216,028,971,455.80 is: 9,291,418,920,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,044,761,042 : 4,216,028,971,455.80 = 4,216,028,971,455.80 : x
  2. Step 2: Convert to fraction form
    1,913,044,761,042/4,216,028,971,455.80 = 4,216,028,971,455.80/x
  3. Step 3: Cross multiply
    1,913,044,761,042x = 4,216,028,971,455.80 × 4,216,028,971,455.80
  4. Step 4: Simplify right side
    1,913,044,761,042x = 17,774,900,288,154,648,289,738,752
  5. Step 5: Solve for x
    x = 17,774,900,288,154,648,289,738,752/1,913,044,761,042
  6. Step 6: Final answer
    x = 9,291,418,920,314.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.