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Finding the Third Proportional to 39,277,475,044 and 86,159,271,536

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Solution

The third proportional to 39,277,475,044 and 86,159,271,536 is: 188,999,421,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,475,044 : 86,159,271,536 = 86,159,271,536 : x
  2. Step 2: Convert to fraction form
    39,277,475,044/86,159,271,536 = 86,159,271,536/x
  3. Step 3: Cross multiply
    39,277,475,044x = 86,159,271,536 × 86,159,271,536
  4. Step 4: Simplify right side
    39,277,475,044x = 7,423,420,071,614,179,442,688
  5. Step 5: Solve for x
    x = 7,423,420,071,614,179,442,688/39,277,475,044
  6. Step 6: Final answer
    x = 188,999,421,762.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.