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Finding the Third Proportional to 668,374,610 and 1,021,772,511

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Solution

The third proportional to 668,374,610 and 1,021,772,511 is: 1,562,026,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,374,610 : 1,021,772,511 = 1,021,772,511 : x
  2. Step 2: Convert to fraction form
    668,374,610/1,021,772,511 = 1,021,772,511/x
  3. Step 3: Cross multiply
    668,374,610x = 1,021,772,511 × 1,021,772,511
  4. Step 4: Simplify right side
    668,374,610x = 1,044,019,064,235,245,184
  5. Step 5: Solve for x
    x = 1,044,019,064,235,245,184/668,374,610
  6. Step 6: Final answer
    x = 1,562,026,816.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.