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Finding the Third Proportional to 32,938,633 and 71,547,534

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Solution

The third proportional to 32,938,633 and 71,547,534 is: 155,411,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938,633 : 71,547,534 = 71,547,534 : x
  2. Step 2: Convert to fraction form
    32,938,633/71,547,534 = 71,547,534/x
  3. Step 3: Cross multiply
    32,938,633x = 71,547,534 × 71,547,534
  4. Step 4: Simplify right side
    32,938,633x = 5,119,049,621,481,156
  5. Step 5: Solve for x
    x = 5,119,049,621,481,156/32,938,633
  6. Step 6: Final answer
    x = 155,411,720.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.