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Finding the Third Proportional to 288,249,119,025.33 and 619,878,739,264.05

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Solution

The third proportional to 288,249,119,025.33 and 619,878,739,264.05 is: 1,333,047,097,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,249,119,025.33 : 619,878,739,264.05 = 619,878,739,264.05 : x
  2. Step 2: Convert to fraction form
    288,249,119,025.33/619,878,739,264.05 = 619,878,739,264.05/x
  3. Step 3: Cross multiply
    288,249,119,025.33x = 619,878,739,264.05 × 619,878,739,264.05
  4. Step 4: Simplify right side
    288,249,119,025.33x = 384,249,651,391,588,122,755,072
  5. Step 5: Solve for x
    x = 384,249,651,391,588,122,755,072/288,249,119,025.33
  6. Step 6: Final answer
    x = 1,333,047,097,215.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.