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Finding the Third Proportional to 31,457,582 and 42,501,207

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Solution

The third proportional to 31,457,582 and 42,501,207 is: 57,421,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457,582 : 42,501,207 = 42,501,207 : x
  2. Step 2: Convert to fraction form
    31,457,582/42,501,207 = 42,501,207/x
  3. Step 3: Cross multiply
    31,457,582x = 42,501,207 × 42,501,207
  4. Step 4: Simplify right side
    31,457,582x = 1,806,352,596,456,849
  5. Step 5: Solve for x
    x = 1,806,352,596,456,849/31,457,582
  6. Step 6: Final answer
    x = 57,421,851.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.