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Finding the Third Proportional to 67,502,547 and 147,271,437

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Solution

The third proportional to 67,502,547 and 147,271,437 is: 321,304,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,502,547 : 147,271,437 = 147,271,437 : x
  2. Step 2: Convert to fraction form
    67,502,547/147,271,437 = 147,271,437/x
  3. Step 3: Cross multiply
    67,502,547x = 147,271,437 × 147,271,437
  4. Step 4: Simplify right side
    67,502,547x = 21,688,876,156,044,968
  5. Step 5: Solve for x
    x = 21,688,876,156,044,968/67,502,547
  6. Step 6: Final answer
    x = 321,304,559.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.