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Finding the Third Proportional to 32,696,964 and 70,088,417

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Solution

The third proportional to 32,696,964 and 70,088,417 is: 150,239,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696,964 : 70,088,417 = 70,088,417 : x
  2. Step 2: Convert to fraction form
    32,696,964/70,088,417 = 70,088,417/x
  3. Step 3: Cross multiply
    32,696,964x = 70,088,417 × 70,088,417
  4. Step 4: Simplify right side
    32,696,964x = 4,912,386,197,565,889
  5. Step 5: Solve for x
    x = 4,912,386,197,565,889/32,696,964
  6. Step 6: Final answer
    x = 150,239,826.47

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Why These Related Problems?

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