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Finding the Third Proportional to 484,534,668,748 and 1,060,256,110,028

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Solution

The third proportional to 484,534,668,748 and 1,060,256,110,028 is: 2,320,046,616,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,534,668,748 : 1,060,256,110,028 = 1,060,256,110,028 : x
  2. Step 2: Convert to fraction form
    484,534,668,748/1,060,256,110,028 = 1,060,256,110,028/x
  3. Step 3: Cross multiply
    484,534,668,748x = 1,060,256,110,028 × 1,060,256,110,028
  4. Step 4: Simplify right side
    484,534,668,748x = 1,124,143,018,851,706,421,116,928
  5. Step 5: Solve for x
    x = 1,124,143,018,851,706,421,116,928/484,534,668,748
  6. Step 6: Final answer
    x = 2,320,046,616,594.86

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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.