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Finding the Third Proportional to 6,281,762,666 and 9,301,355,841

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Solution

The third proportional to 6,281,762,666 and 9,301,355,841 is: 13,772,443,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281,762,666 : 9,301,355,841 = 9,301,355,841 : x
  2. Step 2: Convert to fraction form
    6,281,762,666/9,301,355,841 = 9,301,355,841/x
  3. Step 3: Cross multiply
    6,281,762,666x = 9,301,355,841 × 9,301,355,841
  4. Step 4: Simplify right side
    6,281,762,666x = 86,515,220,480,904,822,784
  5. Step 5: Solve for x
    x = 86,515,220,480,904,822,784/6,281,762,666
  6. Step 6: Final answer
    x = 13,772,443,354.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.