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Finding the Third Proportional to 31,927,053 and 70,034,567.50

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Solution

The third proportional to 31,927,053 and 70,034,567.50 is: 153,626,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,927,053 : 70,034,567.50 = 70,034,567.50 : x
  2. Step 2: Convert to fraction form
    31,927,053/70,034,567.50 = 70,034,567.50/x
  3. Step 3: Cross multiply
    31,927,053x = 70,034,567.50 × 70,034,567.50
  4. Step 4: Simplify right side
    31,927,053x = 4,904,840,644,912,056
  5. Step 5: Solve for x
    x = 4,904,840,644,912,056/31,927,053
  6. Step 6: Final answer
    x = 153,626,476.11

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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.