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Finding the Third Proportional to 653,658,810 and 1,400,570,628

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Solution

The third proportional to 653,658,810 and 1,400,570,628 is: 3,000,951,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,658,810 : 1,400,570,628 = 1,400,570,628 : x
  2. Step 2: Convert to fraction form
    653,658,810/1,400,570,628 = 1,400,570,628/x
  3. Step 3: Cross multiply
    653,658,810x = 1,400,570,628 × 1,400,570,628
  4. Step 4: Simplify right side
    653,658,810x = 1,961,598,084,016,314,368
  5. Step 5: Solve for x
    x = 1,961,598,084,016,314,368/653,658,810
  6. Step 6: Final answer
    x = 3,000,951,037.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.