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Finding the Third Proportional to 775,623,294 and 1,658,742,012

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Solution

The third proportional to 775,623,294 and 1,658,742,012 is: 3,547,372,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,623,294 : 1,658,742,012 = 1,658,742,012 : x
  2. Step 2: Convert to fraction form
    775,623,294/1,658,742,012 = 1,658,742,012/x
  3. Step 3: Cross multiply
    775,623,294x = 1,658,742,012 × 1,658,742,012
  4. Step 4: Simplify right side
    775,623,294x = 2,751,425,062,373,808,128
  5. Step 5: Solve for x
    x = 2,751,425,062,373,808,128/775,623,294
  6. Step 6: Final answer
    x = 3,547,372,911.13

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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.