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Finding the Third Proportional to 32,357,925 and 45,513,703

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Solution

The third proportional to 32,357,925 and 45,513,703 is: 64,018,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,357,925 : 45,513,703 = 45,513,703 : x
  2. Step 2: Convert to fraction form
    32,357,925/45,513,703 = 45,513,703/x
  3. Step 3: Cross multiply
    32,357,925x = 45,513,703 × 45,513,703
  4. Step 4: Simplify right side
    32,357,925x = 2,071,497,160,772,209
  5. Step 5: Solve for x
    x = 2,071,497,160,772,209/32,357,925
  6. Step 6: Final answer
    x = 64,018,232.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.