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Finding the Third Proportional to 32,938,716 and 71,547,712

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Solution

The third proportional to 32,938,716 and 71,547,712 is: 155,412,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938,716 : 71,547,712 = 71,547,712 : x
  2. Step 2: Convert to fraction form
    32,938,716/71,547,712 = 71,547,712/x
  3. Step 3: Cross multiply
    32,938,716x = 71,547,712 × 71,547,712
  4. Step 4: Simplify right side
    32,938,716x = 5,119,075,092,434,944
  5. Step 5: Solve for x
    x = 5,119,075,092,434,944/32,938,716
  6. Step 6: Final answer
    x = 155,412,102.05

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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.