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Finding the Third Proportional to 65,108,230,722 and 139,636,972,854

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Solution

The third proportional to 65,108,230,722 and 139,636,972,854 is: 299,478,022,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,108,230,722 : 139,636,972,854 = 139,636,972,854 : x
  2. Step 2: Convert to fraction form
    65,108,230,722/139,636,972,854 = 139,636,972,854/x
  3. Step 3: Cross multiply
    65,108,230,722x = 139,636,972,854 × 139,636,972,854
  4. Step 4: Simplify right side
    65,108,230,722x = 19,498,484,187,828,731,248,640
  5. Step 5: Solve for x
    x = 19,498,484,187,828,731,248,640/65,108,230,722
  6. Step 6: Final answer
    x = 299,478,022,541.94

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