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Finding the Third Proportional to 78,937,727,484 and 170,456,759,712

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Solution

The third proportional to 78,937,727,484 and 170,456,759,712 is: 368,081,370,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,937,727,484 : 170,456,759,712 = 170,456,759,712 : x
  2. Step 2: Convert to fraction form
    78,937,727,484/170,456,759,712 = 170,456,759,712/x
  3. Step 3: Cross multiply
    78,937,727,484x = 170,456,759,712 × 170,456,759,712
  4. Step 4: Simplify right side
    78,937,727,484x = 29,055,506,931,514,507,001,856
  5. Step 5: Solve for x
    x = 29,055,506,931,514,507,001,856/78,937,727,484
  6. Step 6: Final answer
    x = 368,081,370,690.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.