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Finding the Third Proportional to 7,083,885,776 and 15,502,226,462

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Solution

The third proportional to 7,083,885,776 and 15,502,226,462 is: 33,924,745,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083,885,776 : 15,502,226,462 = 15,502,226,462 : x
  2. Step 2: Convert to fraction form
    7,083,885,776/15,502,226,462 = 15,502,226,462/x
  3. Step 3: Cross multiply
    7,083,885,776x = 15,502,226,462 × 15,502,226,462
  4. Step 4: Simplify right side
    7,083,885,776x = 240,319,025,279,133,024,256
  5. Step 5: Solve for x
    x = 240,319,025,279,133,024,256/7,083,885,776
  6. Step 6: Final answer
    x = 33,924,745,948.52

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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.