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Finding the Third Proportional to 34,739,523 and 74,249,865

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Solution

The third proportional to 34,739,523 and 74,249,865 is: 158,696,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,739,523 : 74,249,865 = 74,249,865 : x
  2. Step 2: Convert to fraction form
    34,739,523/74,249,865 = 74,249,865/x
  3. Step 3: Cross multiply
    34,739,523x = 74,249,865 × 74,249,865
  4. Step 4: Simplify right side
    34,739,523x = 5,513,042,452,518,225
  5. Step 5: Solve for x
    x = 5,513,042,452,518,225/34,739,523
  6. Step 6: Final answer
    x = 158,696,550.11

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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.