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Finding the Third Proportional to 32,938,623.42 and 71,547,511.36

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Solution

The third proportional to 32,938,623.42 and 71,547,511.36 is: 155,411,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938,623.42 : 71,547,511.36 = 71,547,511.36 : x
  2. Step 2: Convert to fraction form
    32,938,623.42/71,547,511.36 = 71,547,511.36/x
  3. Step 3: Cross multiply
    32,938,623.42x = 71,547,511.36 × 71,547,511.36
  4. Step 4: Simplify right side
    32,938,623.42x = 5,119,046,381,719,895
  5. Step 5: Solve for x
    x = 5,119,046,381,719,895/32,938,623.42
  6. Step 6: Final answer
    x = 155,411,667.21

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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.