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Finding the Third Proportional to 398,101,485,321 and 877,348,730,547

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Solution

The third proportional to 398,101,485,321 and 877,348,730,547 is: 1,933,529,070,789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,101,485,321 : 877,348,730,547 = 877,348,730,547 : x
  2. Step 2: Convert to fraction form
    398,101,485,321/877,348,730,547 = 877,348,730,547/x
  3. Step 3: Cross multiply
    398,101,485,321x = 877,348,730,547 × 877,348,730,547
  4. Step 4: Simplify right side
    398,101,485,321x = 769,740,794,992,432,399,777,792
  5. Step 5: Solve for x
    x = 769,740,794,992,432,399,777,792/398,101,485,321
  6. Step 6: Final answer
    x = 1,933,529,070,789.00

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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.