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Finding the Third Proportional to 6,977,077,046 and 10,724,267,649

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Solution

The third proportional to 6,977,077,046 and 10,724,267,649 is: 16,483,968,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,077,046 : 10,724,267,649 = 10,724,267,649 : x
  2. Step 2: Convert to fraction form
    6,977,077,046/10,724,267,649 = 10,724,267,649/x
  3. Step 3: Cross multiply
    6,977,077,046x = 10,724,267,649 × 10,724,267,649
  4. Step 4: Simplify right side
    6,977,077,046x = 115,009,916,607,387,992,064
  5. Step 5: Solve for x
    x = 115,009,916,607,387,992,064/6,977,077,046
  6. Step 6: Final answer
    x = 16,483,968,264.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.