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Finding the Third Proportional to 523,030,665,774 and 747,934,742,745

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Solution

The third proportional to 523,030,665,774 and 747,934,742,745 is: 1,069,547,955,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,030,665,774 : 747,934,742,745 = 747,934,742,745 : x
  2. Step 2: Convert to fraction form
    523,030,665,774/747,934,742,745 = 747,934,742,745/x
  3. Step 3: Cross multiply
    523,030,665,774x = 747,934,742,745 × 747,934,742,745
  4. Step 4: Simplify right side
    523,030,665,774x = 559,406,379,405,029,343,756,288
  5. Step 5: Solve for x
    x = 559,406,379,405,029,343,756,288/523,030,665,774
  6. Step 6: Final answer
    x = 1,069,547,955,810.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.