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Finding the Third Proportional to 64,284,841 and 97,006,897.50

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Solution

The third proportional to 64,284,841 and 97,006,897.50 is: 146,385,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284,841 : 97,006,897.50 = 97,006,897.50 : x
  2. Step 2: Convert to fraction form
    64,284,841/97,006,897.50 = 97,006,897.50/x
  3. Step 3: Cross multiply
    64,284,841x = 97,006,897.50 × 97,006,897.50
  4. Step 4: Simplify right side
    64,284,841x = 9,410,338,162,575,506
  5. Step 5: Solve for x
    x = 9,410,338,162,575,506/64,284,841
  6. Step 6: Final answer
    x = 146,385,026.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.