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Finding the Third Proportional to 13,938,870 and 29,895,534

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Solution

The third proportional to 13,938,870 and 29,895,534 is: 64,118,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938,870 : 29,895,534 = 29,895,534 : x
  2. Step 2: Convert to fraction form
    13,938,870/29,895,534 = 29,895,534/x
  3. Step 3: Cross multiply
    13,938,870x = 29,895,534 × 29,895,534
  4. Step 4: Simplify right side
    13,938,870x = 893,742,953,145,156
  5. Step 5: Solve for x
    x = 893,742,953,145,156/13,938,870
  6. Step 6: Final answer
    x = 64,118,752.32

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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.