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Finding the Third Proportional to 4,657,828 and 9,875,528

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Solution

The third proportional to 4,657,828 and 9,875,528 is: 20,938,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657,828 : 9,875,528 = 9,875,528 : x
  2. Step 2: Convert to fraction form
    4,657,828/9,875,528 = 9,875,528/x
  3. Step 3: Cross multiply
    4,657,828x = 9,875,528 × 9,875,528
  4. Step 4: Simplify right side
    4,657,828x = 97,526,053,278,784
  5. Step 5: Solve for x
    x = 97,526,053,278,784/4,657,828
  6. Step 6: Final answer
    x = 20,938,096.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.