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Finding the Third Proportional to 506,535,877 and 756,822,013.50

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Solution

The third proportional to 506,535,877 and 756,822,013.50 is: 1,130,777,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,535,877 : 756,822,013.50 = 756,822,013.50 : x
  2. Step 2: Convert to fraction form
    506,535,877/756,822,013.50 = 756,822,013.50/x
  3. Step 3: Cross multiply
    506,535,877x = 756,822,013.50 × 756,822,013.50
  4. Step 4: Simplify right side
    506,535,877x = 572,779,560,118,194,176
  5. Step 5: Solve for x
    x = 572,779,560,118,194,176/506,535,877
  6. Step 6: Final answer
    x = 1,130,777,870.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.